31379172000768 has 352 divisors, whose sum is σ = 99147704641920. Its totient is φ = 9769278504960.

The previous prime is 31379172000703. The next prime is 31379172000779. The reversal of 31379172000768 is 86700027197313.

31379172000768 is a `hidden beast` number, since 3 + 1 + 379 + 1 + 7 + 200 + 0 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61317280 + ... + 61826912.

It is an arithmetic number, because the mean of its divisors is an integer number (281669615460).

Almost surely, 2^{31379172000768} 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 31379172000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49573852320960).

31379172000768 is an abundant number, since it is smaller than the sum of its proper divisors (67768532641152).

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

31379172000768 is a wasteful number, since it uses less digits than its factorization.

31379172000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509810 (or 509786 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 31379172000768 in words is "thirty-one trillion, three hundred seventy-nine billion, one hundred seventy-two million, seven hundred sixty-eight", and thus it is an aban number.