10640564600 has 24 divisors (see below), whose sum is σ = 24739313160. Its totient is φ = 4256225760.

The previous prime is 10640564593. The next prime is 10640564611. The reversal of 10640564600 is 646504601.

It is a super-2 number, since 2×10640564600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26601212 + ... + 26601611.

It is an arithmetic number, because the mean of its divisors is an integer number (1030804715).

Almost surely, 2^10640564600 is an apocalyptic number.

10640564600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10640564600 is an abundant number, since it is smaller than the sum of its proper divisors (14098748560).

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

10640564600 is a wasteful number, since it uses less digits than its factorization.

10640564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53202839 (or 53202830 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 10640564600 in words is "ten billion, six hundred forty million, five hundred sixty-four thousand, six hundred".