31664613960 has 640 divisors, whose sum is σ = 129969100800. Its totient is φ = 6758277120.

The previous prime is 31664613947. The next prime is 31664613961. The reversal of 31664613960 is 6931646613.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31664613961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20388544 + ... + 20390096.

It is an arithmetic number, because the mean of its divisors is an integer number (203076720).

Almost surely, 2^31664613960 is an apocalyptic number.

31664613960 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 31664613960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64984550400).

31664613960 is an abundant number, since it is smaller than the sum of its proper divisors (98304486840).

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

31664613960 is a wasteful number, since it uses less digits than its factorization.

31664613960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 31664613960 in words is "thirty-one billion, six hundred sixty-four million, six hundred thirteen thousand, nine hundred sixty".