31607132480 has 672 divisors, whose sum is σ = 101322835200. Its totient is φ = 9272524800.

The previous prime is 31607132449. The next prime is 31607132527. The reversal of 31607132480 is 8423170613.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 31607132480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355136276 + ... + 355136364.

Almost surely, 2^31607132480 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 31607132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50661417600).

31607132480 is an abundant number, since it is smaller than the sum of its proper divisors (69715702720).

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

31607132480 is a wasteful number, since it uses less digits than its factorization.

31607132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 31607132480 in words is "thirty-one billion, six hundred seven million, one hundred thirty-two thousand, four hundred eighty".