631545124320 has 768 divisors, whose sum is σ = 2526515712000. Its totient is φ = 145926144000.

The previous prime is 631545124319. The next prime is 631545124339. The reversal of 631545124320 is 23421545136.

631545124320 is a `hidden beast` number, since 6 + 31 + 54 + 512 + 43 + 20 = 666.

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

It is a congruent number.

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, 108865420 + ... + 108871220.

It is an arithmetic number, because the mean of its divisors is an integer number (3289734000).

Almost surely, 2^631545124320 is an apocalyptic number.

631545124320 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 631545124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263257856000).

631545124320 is an abundant number, since it is smaller than the sum of its proper divisors (1894970587680).

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

631545124320 is a wasteful number, since it uses less digits than its factorization.

631545124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 631545124320 its reverse (23421545136), we get a palindrome (654966669456).

The spelling of 631545124320 in words is "six hundred thirty-one billion, five hundred forty-five million, one hundred twenty-four thousand, three hundred twenty".