Prater eclipsed the record of 63 yards first set 43 years ago by Tom Dempsey of the Saints. The kick came as time expired in the first half to bring the Broncos within 21-20 at intermission.
Equalling Dempsey's booming kick of 1970 were Denver's Jason Elam in 1998, Oakland's Sabastian Janikowski in 2011 and San Francisco's David Akers last season.
The long field goals by Prater, Elam and Janikowski all occurred in mile-high Denver, where the thin air gives kickers an advantage.
Prater has enjoyed a stellar season, converting 17 of 18 field-goal attempts and leads the league with 61 extra points for the Broncos, who clinched an AFC playoff berth as they improved their record to 11-2.