8660657664 has 120 divisors (see below), whose sum is σ = 25527696480. Its totient is φ = 2825392128.

The previous prime is 8660657651. The next prime is 8660657683. The reversal of 8660657664 is 4667560668.

8660657664 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 6 + 576 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8660657664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196582 + ... + 236570.

It is an arithmetic number, because the mean of its divisors is an integer number (212730804).

Almost surely, 2^8660657664 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 8660657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12763848240).

8660657664 is an abundant number, since it is smaller than the sum of its proper divisors (16867038816).

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

8660657664 is a wasteful number, since it uses less digits than its factorization.

8660657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40060 (or 40041 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The square root of 8660657664 is about 93062.6545075950. The cubic root of 8660657664 is about 2053.6052097787.

The spelling of 8660657664 in words is "eight billion, six hundred sixty million, six hundred fifty-seven thousand, six hundred sixty-four".