631079320320 has 1152 divisors, whose sum is σ = 2443724640000. Its totient is φ = 155557822464.

The previous prime is 631079320279. The next prime is 631079320331. The reversal of 631079320320 is 23023970136.

631079320320 is a `hidden beast` number, since 6 + 3 + 1 + 0 + 7 + 9 + 320 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×631079320320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 4235431606 + ... + 4235431754.

It is an arithmetic number, because the mean of its divisors is an integer number (2121288750).

Almost surely, 2^631079320320 is an apocalyptic number.

631079320320 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 631079320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221862320000).

631079320320 is an abundant number, since it is smaller than the sum of its proper divisors (1812645319680).

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

631079320320 is an equidigital number, since it uses as much as digits as its factorization.

631079320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 631079320320 in words is "six hundred thirty-one billion, seventy-nine million, three hundred twenty thousand, three hundred twenty".