631875672468 has 360 divisors, whose sum is σ = 1854235595520. Its totient is φ = 187289625600.

The previous prime is 631875672443. The next prime is 631875672509. The reversal of 631875672468 is 864276578136.

631875672468 is a `hidden beast` number, since 6 + 3 + 1 + 8 + 7 + 567 + 2 + 4 + 68 = 666.

631875672468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×631875672468² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127623393 + ... + 127628343.

It is an arithmetic number, because the mean of its divisors is an integer number (5150654432).

Almost surely, 2^631875672468 is an apocalyptic number.

631875672468 is a gapful number since it is divisible by the number (68) 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 631875672468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927117797760).

631875672468 is an abundant number, since it is smaller than the sum of its proper divisors (1222359923052).

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

631875672468 is a wasteful number, since it uses less digits than its factorization.

631875672468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5049 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 631875672468 in words is "six hundred thirty-one billion, eight hundred seventy-five million, six hundred seventy-two thousand, four hundred sixty-eight".