264839952960 has 336 divisors, whose sum is σ = 999263708352. Its totient is φ = 63847526400.

The previous prime is 264839952943. The next prime is 264839952983. The reversal of 264839952960 is 69259938462.

264839952960 is a `hidden beast` number, since 2 + 6 + 48 + 3 + 9 + 9 + 529 + 60 = 666.

264839952960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5710987 + ... + 5757173.

It is an arithmetic number, because the mean of its divisors is an integer number (2973999132).

Almost surely, 2^264839952960 is an apocalyptic number.

264839952960 is a gapful number since it is divisible by the number (20) 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 264839952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499631854176).

264839952960 is an abundant number, since it is smaller than the sum of its proper divisors (734423755392).

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

264839952960 is a wasteful number, since it uses less digits than its factorization.

264839952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46402 (or 46389 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 264839952960 in words is "two hundred sixty-four billion, eight hundred thirty-nine million, nine hundred fifty-two thousand, nine hundred sixty".