632772520900 has 243 divisors, whose sum is σ = 1547237573973. Its totient is φ = 224513452800.

The previous prime is 632772520829. The next prime is 632772520901. The reversal of 632772520900 is 9025277236.

The square root of 632772520900 is 795470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 585356587396 + 47415933504 = 765086^2 + 217752^2 .

It is a super-2 number, since 2×632772520900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (632772520901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2998921795 + ... + 2998922005.

Almost surely, 2^632772520900 is an apocalyptic number.

632772520900 is the 795470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632772520900

632772520900 is an abundant number, since it is smaller than the sum of its proper divisors (914465053073).

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

632772520900 is a wasteful number, since it uses less digits than its factorization.

632772520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 632772520900 in words is "six hundred thirty-two billion, seven hundred seventy-two million, five hundred twenty thousand, nine hundred".