252007764672 has 42 divisors (see below), whose sum is σ = 666788948868. Its totient is φ = 84000269568.

The previous prime is 252007764647. The next prime is 252007764689. The reversal of 252007764672 is 276467700252.

252007764672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6937854 + ... + 6974082.

It is an arithmetic number, because the mean of its divisors is an integer number (15875927354).

Almost surely, 2^252007764672 is an apocalyptic number.

It is an amenable number.

252007764672 is an abundant number, since it is smaller than the sum of its proper divisors (414781184196).

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

252007764672 is an frugal number, since it uses more digits than its factorization.

252007764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72473 (or 36234 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

Multiplying 252007764672 by its sum of digits (48), we get a square (12096372704256 = 3477984²).

252007764672 divided by its sum of digits (48) gives a square (5250161764 = 72458²).

The spelling of 252007764672 in words is "two hundred fifty-two billion, seven million, seven hundred sixty-four thousand, six hundred seventy-two".