General fact: 4676 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Mathematical fact: 4676 is the sum of the first seven 4^{th} powers.
Trivia: 4676 is a boring number.
Historical date: October 19th is the day in 1950 that the People's Republic of China joins the Korean War by sending thousands of troops across the Yalu river to fight United Nations forces.