31768320000 has 240 divisors, whose sum is σ = 105847461720. Its totient is φ = 8470528000.

The previous prime is 31768319899. The next prime is 31768320011. The reversal of 31768320000 is 2386713.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 31768320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3835864 + ... + 3844136.

Almost surely, 2^31768320000 is an apocalyptic number.

31768320000 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 31768320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923730860).

31768320000 is an abundant number, since it is smaller than the sum of its proper divisors (74079141720).

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

31768320000 is an frugal number, since it uses more digits than its factorization.

31768320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 31768320000 in words is "thirty-one billion, seven hundred sixty-eight million, three hundred twenty thousand".