264879168000 has 160 divisors (see below), whose sum is σ = 880657652160. Its totient is φ = 70634393600.

The previous prime is 264879167989. The next prime is 264879168049. The reversal of 264879168000 is 861978462.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497790 + ... + 881789.

It is an arithmetic number, because the mean of its divisors is an integer number (5504110326).

Almost surely, 2^264879168000 is an apocalyptic number.

264879168000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264879168000 is an abundant number, since it is smaller than the sum of its proper divisors (615778484160).

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

264879168000 is an equidigital number, since it uses as much as digits as its factorization.

264879168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379615 (or 1379589 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 264879168000 in words is "two hundred sixty-four billion, eight hundred seventy-nine million, one hundred sixty-eight thousand".