631304906400 has 1728 divisors, whose sum is σ = 2790541393920. Its totient is φ = 137168640000.

The previous prime is 631304906377. The next prime is 631304906417. The reversal of 631304906400 is 4609403136.

631304906400 is a `hidden beast` number, since 6 + 3 + 1 + 3 + 0 + 4 + 9 + 0 + 640 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2329538265 + ... + 2329538535.

It is an arithmetic number, because the mean of its divisors is an integer number (1614896640).

Almost surely, 2^631304906400 is an apocalyptic number.

631304906400 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 631304906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395270696960).

631304906400 is an abundant number, since it is smaller than the sum of its proper divisors (2159236487520).

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

631304906400 is a wasteful number, since it uses less digits than its factorization.

631304906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 631304906400 in words is "six hundred thirty-one billion, three hundred four million, nine hundred six thousand, four hundred".