31765716864 has 480 divisors, whose sum is σ = 113572071360. Its totient is φ = 8778792960.

The previous prime is 31765716841. The next prime is 31765716881. The reversal of 31765716864 is 46861756713.

31765716864 is a `hidden beast` number, since 3 + 1 + 7 + 6 + 571 + 6 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 31765716864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15747984 + ... + 15750000.

It is an arithmetic number, because the mean of its divisors is an integer number (236608482).

Almost surely, 2^31765716864 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 31765716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56786035680).

31765716864 is an abundant number, since it is smaller than the sum of its proper divisors (81806354496).

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

31765716864 is a wasteful number, since it uses less digits than its factorization.

31765716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2060 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 31765716864 in words is "thirty-one billion, seven hundred sixty-five million, seven hundred sixteen thousand, eight hundred sixty-four".