264382877952 has 216 divisors, whose sum is σ = 791713802880. Its totient is φ = 84788613120.

The previous prime is 264382877921. The next prime is 264382878029. The reversal of 264382877952 is 259778283462.

264382877952 is a `hidden beast` number, since 2 + 6 + 438 + 2 + 87 + 79 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 264382877952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6368302 + ... + 6409682.

It is an arithmetic number, because the mean of its divisors is an integer number (3665341680).

Almost surely, 2^264382877952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264382877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395856901440).

264382877952 is an abundant number, since it is smaller than the sum of its proper divisors (527330924928).

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

264382877952 is a wasteful number, since it uses less digits than its factorization.

264382877952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41509 (or 41492 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 264382877952 in words is "two hundred sixty-four billion, three hundred eighty-two million, eight hundred seventy-seven thousand, nine hundred fifty-two".