diff --git a/src/format/parse.rs b/src/format/parse.rs
index 097e02d81a..f89b99a493 100644
--- a/src/format/parse.rs
+++ b/src/format/parse.rs
@@ -109,14 +109,14 @@ fn parse_rfc2822<'a>(parsed: &mut Parsed, mut s: &'a str) -> ParseResult<(&'a st
     }
 
     s = s.trim_start();
-    parsed.set_day(try_consume!(scan::number(s, 1, 2)))?;
+    parsed.set_day(try_consume!(scan::number(s, 1, 2, true)))?;
     s = scan::space(s)?; // mandatory
     parsed.set_month(1 + i64::from(try_consume!(scan::short_month0(s))))?;
     s = scan::space(s)?; // mandatory
 
     // distinguish two- and three-digit years from four-digit years
     let prevlen = s.len();
-    let mut year = try_consume!(scan::number(s, 2, usize::MAX));
+    let mut year = try_consume!(scan::number(s, 2, usize::MAX, true));
     let yearlen = prevlen - s.len();
     match (yearlen, year) {
         (2, 0..=49) => {
@@ -133,12 +133,12 @@ fn parse_rfc2822<'a>(parsed: &mut Parsed, mut s: &'a str) -> ParseResult<(&'a st
     parsed.set_year(year)?;
 
     s = scan::space(s)?; // mandatory
-    parsed.set_hour(try_consume!(scan::number(s, 2, 2)))?;
+    parsed.set_hour(try_consume!(scan::number(s, 2, 2, true)))?;
     s = scan::char(s.trim_start(), b':')?.trim_start(); // *S ":" *S
-    parsed.set_minute(try_consume!(scan::number(s, 2, 2)))?;
+    parsed.set_minute(try_consume!(scan::number(s, 2, 2, true)))?;
     if let Ok(s_) = scan::char(s.trim_start(), b':') {
         // [ ":" *S 2DIGIT ]
-        parsed.set_second(try_consume!(scan::number(s_, 2, 2)))?;
+        parsed.set_second(try_consume!(scan::number(s_, 2, 2, true)))?;
     }
 
     s = scan::space(s)?; // mandatory
@@ -190,11 +190,11 @@ pub(crate) fn parse_rfc3339<'a>(parsed: &mut Parsed, mut s: &'a str) -> ParseRes
     //
     // - For readability a full-date and a full-time may be separated by a space character.
 
-    parsed.set_year(try_consume!(scan::number(s, 4, 4)))?;
+    parsed.set_year(try_consume!(scan::number(s, 4, 4, true)))?;
     s = scan::char(s, b'-')?;
-    parsed.set_month(try_consume!(scan::number(s, 2, 2)))?;
+    parsed.set_month(try_consume!(scan::number(s, 2, 2, true)))?;
     s = scan::char(s, b'-')?;
-    parsed.set_day(try_consume!(scan::number(s, 2, 2)))?;
+    parsed.set_day(try_consume!(scan::number(s, 2, 2, true)))?;
 
     s = match s.as_bytes().first() {
         Some(&b't' | &b'T' | &b' ') => &s[1..],
@@ -202,11 +202,11 @@ pub(crate) fn parse_rfc3339<'a>(parsed: &mut Parsed, mut s: &'a str) -> ParseRes
         None => return Err(TOO_SHORT),
     };
 
-    parsed.set_hour(try_consume!(scan::number(s, 2, 2)))?;
+    parsed.set_hour(try_consume!(scan::number(s, 2, 2, true)))?;
     s = scan::char(s, b':')?;
-    parsed.set_minute(try_consume!(scan::number(s, 2, 2)))?;
+    parsed.set_minute(try_consume!(scan::number(s, 2, 2, true)))?;
     s = scan::char(s, b':')?;
-    parsed.set_second(try_consume!(scan::number(s, 2, 2)))?;
+    parsed.set_second(try_consume!(scan::number(s, 2, 2, true)))?;
     if s.starts_with('.') {
         let nanosecond = try_consume!(scan::nanosecond(&s[1..]));
         parsed.set_nanosecond(nanosecond)?;
@@ -357,7 +357,7 @@ where
                     Minute => (2, false, Parsed::set_minute),
                     Second => (2, false, Parsed::set_second),
                     Nanosecond => (9, false, Parsed::set_nanosecond),
-                    Timestamp => (usize::MAX, false, Parsed::set_timestamp),
+                    Timestamp => (usize::MAX, true, Parsed::set_timestamp),
 
                     // for the future expansion
                     Internal(ref int) => match int._dummy {},
@@ -366,16 +366,15 @@ where
                 s = s.trim_start();
                 let v = if signed {
                     if s.starts_with('-') {
-                        let v = try_consume!(scan::number(&s[1..], 1, usize::MAX));
-                        0i64.checked_sub(v).ok_or(OUT_OF_RANGE)?
+                        try_consume!(scan::number(&s[1..], 1, usize::MAX, false))
                     } else if s.starts_with('+') {
-                        try_consume!(scan::number(&s[1..], 1, usize::MAX))
+                        try_consume!(scan::number(&s[1..], 1, usize::MAX, true))
                     } else {
                         // if there is no explicit sign, we respect the original `width`
-                        try_consume!(scan::number(s, 1, width))
+                        try_consume!(scan::number(s, 1, width, true))
                     }
                 } else {
-                    try_consume!(scan::number(s, 1, width))
+                    try_consume!(scan::number(s, 1, width, true))
                 };
                 set(parsed, v)?;
             }
@@ -765,6 +764,7 @@ mod tests {
         check("  +   42", &[Space("  "), num(Year)], Err(INVALID));
         check("-", &[num(Year)], Err(TOO_SHORT));
         check("+", &[num(Year)], Err(TOO_SHORT));
+        check("-9223372036854775808", &[num(Timestamp)], parsed!(timestamp: i64::MIN));
 
         // unsigned numeric
         check("345", &[num(Ordinal)], parsed!(ordinal: 345));
diff --git a/src/format/scan.rs b/src/format/scan.rs
index 5a7c061ad0..eae122915f 100644
--- a/src/format/scan.rs
+++ b/src/format/scan.rs
@@ -14,7 +14,7 @@ use crate::Weekday;
 /// More than `max` digits are consumed up to the first `max` digits.
 /// Any number that does not fit in `i64` is an error.
 #[inline]
-pub(super) fn number(s: &str, min: usize, max: usize) -> ParseResult<(&str, i64)> {
+pub(super) fn number(s: &str, min: usize, max: usize, positive: bool) -> ParseResult<(&str, i64)> {
     assert!(min <= max);
 
     // We are only interested in ascii numbers, so we can work with the `str` as bytes. We stop on
@@ -25,6 +25,8 @@ pub(super) fn number(s: &str, min: usize, max: usize) -> ParseResult<(&str, i64)
         return Err(TOO_SHORT);
     }
 
+    // We construct the value as a negative integer first, and flip the sign if `positive`.
+    // This allows us to parse `i64::MIN`.
     let mut n = 0i64;
     for (i, c) in bytes.iter().take(max).cloned().enumerate() {
         // cloned() = copied()
@@ -32,16 +34,22 @@ pub(super) fn number(s: &str, min: usize, max: usize) -> ParseResult<(&str, i64)
             if i < min {
                 return Err(INVALID);
             } else {
+                if positive {
+                    n = n.checked_neg().ok_or(OUT_OF_RANGE)?;
+                }
                 return Ok((&s[i..], n));
             }
         }
 
-        n = match n.checked_mul(10).and_then(|n| n.checked_add((c - b'0') as i64)) {
+        n = match n.checked_mul(10).and_then(|n| n.checked_sub((c - b'0') as i64)) {
             Some(n) => n,
             None => return Err(OUT_OF_RANGE),
         };
     }
 
+    if positive {
+        n = n.checked_neg().ok_or(OUT_OF_RANGE)?;
+    }
     Ok((&s[core::cmp::min(max, bytes.len())..], n))
 }
 
@@ -50,7 +58,7 @@ pub(super) fn number(s: &str, min: usize, max: usize) -> ParseResult<(&str, i64)
 pub(super) fn nanosecond(s: &str) -> ParseResult<(&str, i64)> {
     // record the number of digits consumed for later scaling.
     let origlen = s.len();
-    let (s, v) = number(s, 1, 9)?;
+    let (s, v) = number(s, 1, 9, true)?;
     let consumed = origlen - s.len();
 
     // scale the number accordingly.
@@ -68,7 +76,7 @@ pub(super) fn nanosecond(s: &str) -> ParseResult<(&str, i64)> {
 /// Returns the number of whole nanoseconds (0--999,999,999).
 pub(super) fn nanosecond_fixed(s: &str, digits: usize) -> ParseResult<(&str, i64)> {
     // record the number of digits consumed for later scaling.
-    let (s, v) = number(s, digits, digits)?;
+    let (s, v) = number(s, digits, digits, true)?;
 
     // scale the number accordingly.
     static SCALE: [i64; 10] =