91680460800 has 624 divisors, whose sum is σ = 322499983680. Its totient is φ = 22937600000.

The previous prime is 91680460769. The next prime is 91680460843. The reversal of 91680460800 is 806408619.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365260675 + ... + 365260925.

Almost surely, 2^91680460800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91680460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161249991840).

91680460800 is an abundant number, since it is smaller than the sum of its proper divisors (230819522880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91680460800 is a wasteful number, since it uses less digits than its factorization.

91680460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 91680460800 in words is "ninety-one billion, six hundred eighty million, four hundred sixty thousand, eight hundred".