633310372864 has 99 divisors (see below), whose sum is σ = 1371595193283. Its totient is φ = 292144300032.

The previous prime is 633310372841. The next prime is 633310372873. The reversal of 633310372864 is 468273013336.

The square root of 633310372864 is 795808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 458302464 + 632852070400 = 21408^2 + 795520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331055172 + ... + 331057084.

Almost surely, 2^633310372864 is an apocalyptic number.

633310372864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

633310372864 is the 795808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633310372864

633310372864 is an abundant number, since it is smaller than the sum of its proper divisors (738284820419).

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

633310372864 is an frugal number, since it uses more digits than its factorization.

633310372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 46.

The spelling of 633310372864 in words is "six hundred thirty-three billion, three hundred ten million, three hundred seventy-two thousand, eight hundred sixty-four".