31680000000 has 624 divisors, whose sum is σ = 124784446176. Its totient is φ = 7680000000.

The previous prime is 31679999983. The next prime is 31680000017. The reversal of 31680000000 is 8613.

It is an interprime number because it is at equal distance from previous prime (31679999983) and next prime (31680000017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2879999995 + ... + 2880000005.

It is an arithmetic number, because the mean of its divisors is an integer number (199975074).

Almost surely, 2^31680000000 is an apocalyptic number.

31680000000 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 31680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62392223088).

31680000000 is an abundant number, since it is smaller than the sum of its proper divisors (93104446176).

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

31680000000 is an frugal number, since it uses more digits than its factorization.

31680000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31680000000 its reverse (8613), we get a palindrome (31680008613).

The spelling of 31680000000 in words is "thirty-one billion, six hundred eighty million", and thus it is an aban number.