264292009632 has 72 divisors (see below), whose sum is σ = 858949037856. Its totient is φ = 75512002176.

The previous prime is 264292009627. The next prime is 264292009679. The reversal of 264292009632 is 236900292462.

264292009632 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 9 + 2 + 0 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65546598 + ... + 65550629.

It is an arithmetic number, because the mean of its divisors is an integer number (11929847748).

Almost surely, 2^264292009632 is an apocalyptic number.

It is an amenable number.

264292009632 is an abundant number, since it is smaller than the sum of its proper divisors (594657028224).

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

264292009632 is a wasteful number, since it uses less digits than its factorization.

264292009632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131097250 (or 131097239 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 264292009632 in words is "two hundred sixty-four billion, two hundred ninety-two million, nine thousand, six hundred thirty-two".