10264568832 has 528 divisors, whose sum is σ = 36051305472. Its totient is φ = 2856591360.

The previous prime is 10264568819. The next prime is 10264568857. The reversal of 10264568832 is 23886546201.

10264568832 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 568 + 83 + 2 = 666.

It is a super-2 number, since 2×10264568832² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123669463 + ... + 123669545.

Almost surely, 2^10264568832 is an apocalyptic number.

10264568832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18025652736).

10264568832 is an abundant number, since it is smaller than the sum of its proper divisors (25786736640).

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

10264568832 is an frugal number, since it uses more digits than its factorization.

10264568832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10264568832 in words is "ten billion, two hundred sixty-four million, five hundred sixty-eight thousand, eight hundred thirty-two".