31764199938768 has 480 divisors, whose sum is σ = 103868551987200. Its totient is φ = 9310027507200.

The previous prime is 31764199938697. The next prime is 31764199938817. The reversal of 31764199938768 is 86783999146713.

31764199938768 is a `hidden beast` number, since 3 + 17 + 6 + 419 + 99 + 38 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3008253073 + ... + 3008263631.

It is an arithmetic number, because the mean of its divisors is an integer number (216392816640).

Almost surely, 2^{31764199938768} 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 31764199938768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51934275993600).

31764199938768 is an abundant number, since it is smaller than the sum of its proper divisors (72104352048432).

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

31764199938768 is a wasteful number, since it uses less digits than its factorization.

31764199938768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12893 (or 12875 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 81.

The spelling of 31764199938768 in words is "thirty-one trillion, seven hundred sixty-four billion, one hundred ninety-nine million, nine hundred thirty-eight thousand, seven hundred sixty-eight".