31920164680 has 64 divisors (see below), whose sum is σ = 73392480000. Its totient is φ = 12488907264.

The previous prime is 31920164659. The next prime is 31920164701. The reversal of 31920164680 is 8646102913.

It is an interprime number because it is at equal distance from previous prime (31920164659) and next prime (31920164701).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3942076 + ... + 3950164.

It is an arithmetic number, because the mean of its divisors is an integer number (1146757500).

Almost surely, 2^31920164680 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 31920164680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36696240000).

31920164680 is an abundant number, since it is smaller than the sum of its proper divisors (41472315320).

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

31920164680 is a wasteful number, since it uses less digits than its factorization.

31920164680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 31920164680 in words is "thirty-one billion, nine hundred twenty million, one hundred sixty-four thousand, six hundred eighty".