91760384328768 has 168 divisors, whose sum is σ = 270133279221312. Its totient is φ = 29759000527872.

The previous prime is 91760384328709. The next prime is 91760384328787. The reversal of 91760384328768 is 86782348306719.

91760384328768 is a `hidden beast` number, since 9 + 1 + 7 + 603 + 8 + 4 + 3 + 2 + 8 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 91760384328696 and 91760384328705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709347871 + ... + 709477217.

Almost surely, 2^{91760384328768} 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 91760384328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135066639610656).

91760384328768 is an abundant number, since it is smaller than the sum of its proper divisors (178372894892544).

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

91760384328768 is a wasteful number, since it uses less digits than its factorization.

91760384328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162689 (or 162676 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 91760384328768 in words is "ninety-one trillion, seven hundred sixty billion, three hundred eighty-four million, three hundred twenty-eight thousand, seven hundred sixty-eight".