Fatto matematico: 7685 is the number of necklaces possible with 18 beads, each being one of 2 colors.
Trivia: 7685 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Data storica: January 14th is the day in 1960 that the Reserve Bank of Australia, the country's central bank and banknote issuing authority, is established.