10456032564 has 36 divisors (see below), whose sum is σ = 27045194176. Its totient is φ = 3404289168.

The previous prime is 10456032551. The next prime is 10456032571. The reversal of 10456032564 is 46523065401.

10456032564 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 60 + 32 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 3375724 + ... + 3378819.

Almost surely, 2^10456032564 is an apocalyptic number.

It is an amenable number.

10456032564 is an abundant number, since it is smaller than the sum of its proper divisors (16589161612).

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

10456032564 is a wasteful number, since it uses less digits than its factorization.

10456032564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754596 (or 6754591 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10456032564 its reverse (46523065401), we get a palindrome (56979097965).

The spelling of 10456032564 in words is "ten billion, four hundred fifty-six million, thirty-two thousand, five hundred sixty-four".