Fatto generale: 6332 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fatto matematico: 6332 is the number of fullerenes with 68 carbon atoms.
Trivia: 6332 is a boring number.
Data storica: May 2nd is the day in 1989 that Hungary begins dismantling its border fence with Austria, which allows a number of East Germans to defect.