632992089664 has 63 divisors (see below), whose sum is σ = 1380817680193. Its totient is φ = 287691852800.

The previous prime is 632992089589. The next prime is 632992089671. The reversal of 632992089664 is 466980299236.

The square root of 632992089664 is 795608.

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

It can be written as a sum of positive squares in only one way, i.e., 628519155264 + 4472934400 = 792792^2 + 66880^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 632992089596 and 632992089605.

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, 70008984 + ... + 70018024.

Almost surely, 2^632992089664 is an apocalyptic number.

632992089664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

632992089664 is the 795608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632992089664

632992089664 is an abundant number, since it is smaller than the sum of its proper divisors (747825590529).

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

632992089664 is an frugal number, since it uses more digits than its factorization.

632992089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18116 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

Multiplying 632992089664 by its sum of digits (64), we get a square (40511493738496 = 6364864²).

632992089664 divided by its sum of digits (64) gives a square (9890501401 = 99451²).

The spelling of 632992089664 in words is "six hundred thirty-two billion, nine hundred ninety-two million, eighty-nine thousand, six hundred sixty-four".