634813749504 has 405 divisors, whose sum is σ = 2084769986299. Its totient is φ = 191985361920.

The previous prime is 634813749499. The next prime is 634813749511. The reversal of 634813749504 is 405947318436.

The square root of 634813749504 is 796752.

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

634813749504 is a `hidden beast` number, since 6 + 3 + 481 + 3 + 74 + 95 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1262054917 + ... + 1262055419.

Almost surely, 2^634813749504 is an apocalyptic number.

634813749504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

634813749504 is the 796752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634813749504

634813749504 is an abundant number, since it is smaller than the sum of its proper divisors (1449956236795).

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

634813749504 is an frugal number, since it uses more digits than its factorization.

634813749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 634813749504 in words is "six hundred thirty-four billion, eight hundred thirteen million, seven hundred forty-nine thousand, five hundred four".