31632507896472 has 512 divisors, whose sum is σ = 107904429158400. Its totient is φ = 8380263628800.

The previous prime is 31632507896383. The next prime is 31632507896533. The reversal of 31632507896472 is 27469870523613.

It is a happy number.

31632507896472 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 2 + 5 + 0 + 78 + 96 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2834194572 + ... + 2834205732.

It is an arithmetic number, because the mean of its divisors is an integer number (210750838200).

It is a 1-persistent number, because it is pandigital, but 2⋅31632507896472 = 63265015792944 is not.

Almost surely, 2^{31632507896472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31632507896472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53952214579200).

31632507896472 is an abundant number, since it is smaller than the sum of its proper divisors (76271921261928).

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

31632507896472 is a wasteful number, since it uses less digits than its factorization.

31632507896472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12824 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 31632507896472 in words is "thirty-one trillion, six hundred thirty-two billion, five hundred seven million, eight hundred ninety-six thousand, four hundred seventy-two".