252506702664 has 192 divisors, whose sum is σ = 725188464000. Its totient is φ = 79151385600.

The previous prime is 252506702641. The next prime is 252506702681. The reversal of 252506702664 is 466207605252.

252506702664 is a `hidden beast` number, since 2 + 52 + 506 + 70 + 26 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161966317 + ... + 161967875.

It is an arithmetic number, because the mean of its divisors is an integer number (3777023250).

Almost surely, 2^252506702664 is an apocalyptic number.

252506702664 is a gapful number since it is divisible by the number (24) 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 252506702664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362594232000).

252506702664 is an abundant number, since it is smaller than the sum of its proper divisors (472681761336).

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

252506702664 is a wasteful number, since it uses less digits than its factorization.

252506702664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 252506702664 in words is "two hundred fifty-two billion, five hundred six million, seven hundred two thousand, six hundred sixty-four".