264065004864 has 84 divisors (see below), whose sum is σ = 789803161056. Its totient is φ = 84194635008.

The previous prime is 264065004859. The next prime is 264065004881. The reversal of 264065004864 is 468400560462.

264065004864 is a `hidden beast` number, since 2 + 6 + 40 + 6 + 500 + 48 + 64 = 666.

It is a hoax number, since the sum of its digits (45) 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9952974 + ... + 9979469.

It is an arithmetic number, because the mean of its divisors is an integer number (9402418584).

Almost surely, 2^264065004864 is an apocalyptic number.

264065004864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264065004864 is an abundant number, since it is smaller than the sum of its proper divisors (525738156192).

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

264065004864 is a wasteful number, since it uses less digits than its factorization.

264065004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932484 (or 19932471 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 264065004864 in words is "two hundred sixty-four billion, sixty-five million, four thousand, eight hundred sixty-four".