31642932672 has 126 divisors (see below), whose sum is σ = 98212561512. Its totient is φ = 9736257024.

The previous prime is 31642932649. The next prime is 31642932691. The reversal of 31642932672 is 27623924613.

31642932672 is a `hidden beast` number, since 316 + 4 + 2 + 9 + 326 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65188 + ... + 259875.

Almost surely, 2^31642932672 is an apocalyptic number.

31642932672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31642932672 is an abundant number, since it is smaller than the sum of its proper divisors (66569628840).

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

31642932672 is a wasteful number, since it uses less digits than its factorization.

31642932672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325107 (or 325081 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 31642932672 in words is "thirty-one billion, six hundred forty-two million, nine hundred thirty-two thousand, six hundred seventy-two".