631792134720 has 336 divisors, whose sum is σ = 2258753440320. Its totient is φ = 161892864000.

The previous prime is 631792134697. The next prime is 631792134731. The reversal of 631792134720 is 27431297136.

631792134720 is a `hidden beast` number, since 6 + 3 + 179 + 2 + 1 + 3 + 472 + 0 = 666.

It is a super-2 number, since 2×631792134720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17604795 + ... + 17640645.

Almost surely, 2^631792134720 is an apocalyptic number.

631792134720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631792134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129376720160).

631792134720 is an abundant number, since it is smaller than the sum of its proper divisors (1626961305600).

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

631792134720 is a wasteful number, since it uses less digits than its factorization.

631792134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36114 (or 36101 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 631792134720 in words is "six hundred thirty-one billion, seven hundred ninety-two million, one hundred thirty-four thousand, seven hundred twenty".