634488716304 has 135 divisors (see below), whose sum is σ = 1821177820189. Its totient is φ = 206210346240.

The previous prime is 634488716243. The next prime is 634488716317. The reversal of 634488716304 is 403617884436.

The square root of 634488716304 is 796548.

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

634488716304 is a `hidden beast` number, since 6 + 34 + 488 + 71 + 63 + 0 + 4 = 666.

634488716304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30573221904 + 603915494400 = 174852^2 + 777120^2 .

It is a super-2 number, since 2×634488716304² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 391900807 + ... + 391902425.

Almost surely, 2^634488716304 is an apocalyptic number.

634488716304 is the 796548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634488716304

634488716304 is an abundant number, since it is smaller than the sum of its proper divisors (1186689103885).

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

634488716304 is an equidigital number, since it uses as much as digits as its factorization.

634488716304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 634488716304 in words is "six hundred thirty-four billion, four hundred eighty-eight million, seven hundred sixteen thousand, three hundred four".