264338215056 has 720 divisors, whose sum is σ = 865849046400. Its totient is φ = 75020402688.

The previous prime is 264338215013. The next prime is 264338215087. The reversal of 264338215056 is 650512833462.

264338215056 is a `hidden beast` number, since 2 + 64 + 3 + 3 + 82 + 1 + 505 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2470450555 + ... + 2470450661.

It is an arithmetic number, because the mean of its divisors is an integer number (1202568120).

Almost surely, 2^264338215056 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 264338215056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432924523200).

264338215056 is an abundant number, since it is smaller than the sum of its proper divisors (601510831344).

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

264338215056 is a wasteful number, since it uses less digits than its factorization.

264338215056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 264338215056 in words is "two hundred sixty-four billion, three hundred thirty-eight million, two hundred fifteen thousand, fifty-six".