10164570624 has 120 divisors (see below), whose sum is σ = 31592412852. Its totient is φ = 3127541760.

The previous prime is 10164570601. The next prime is 10164570631. The reversal of 10164570624 is 42607546101.

10164570624 is a `hidden beast` number, since 1 + 0 + 1 + 64 + 570 + 6 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9767764224 + 396806400 = 98832^2 + 19920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24937 + ... + 144744.

Almost surely, 2^10164570624 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 10164570624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796206426).

10164570624 is an abundant number, since it is smaller than the sum of its proper divisors (21427842228).

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

10164570624 is a wasteful number, since it uses less digits than its factorization.

10164570624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169718 (or 169699 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10164570624 in words is "ten billion, one hundred sixty-four million, five hundred seventy thousand, six hundred twenty-four".