91687658832 has 640 divisors, whose sum is σ = 359462707200. Its totient is φ = 21637324800.

The previous prime is 91687658789. The next prime is 91687658837. The reversal of 91687658832 is 23885678619.

91687658832 is a `hidden beast` number, since 9 + 16 + 8 + 7 + 6 + 588 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 91687658832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91687658837) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16396357 + ... + 16401947.

It is an arithmetic number, because the mean of its divisors is an integer number (561660480).

Almost surely, 2^91687658832 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 91687658832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179731353600).

91687658832 is an abundant number, since it is smaller than the sum of its proper divisors (267775048368).

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

91687658832 is a wasteful number, since it uses less digits than its factorization.

91687658832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5660 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 91687658832 in words is "ninety-one billion, six hundred eighty-seven million, six hundred fifty-eight thousand, eight hundred thirty-two".