31632612480 has 768 divisors, whose sum is σ = 132324192000. Its totient is φ = 7218118656.

The previous prime is 31632612433. The next prime is 31632612481. The reversal of 31632612480 is 8421623613.

31632612480 is a `hidden beast` number, since 3 + 1 + 6 + 32 + 612 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31632612481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53343064 + ... + 53343656.

It is an arithmetic number, because the mean of its divisors is an integer number (172297125).

Almost surely, 2^31632612480 is an apocalyptic number.

31632612480 is a gapful number since it is divisible by the number (30) 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 31632612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66162096000).

31632612480 is an abundant number, since it is smaller than the sum of its proper divisors (100691579520).

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

31632612480 is an frugal number, since it uses more digits than its factorization.

31632612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31632612480 in words is "thirty-one billion, six hundred thirty-two million, six hundred twelve thousand, four hundred eighty".