31376580037968 has 640 divisors, whose sum is σ = 98121034851840. Its totient is φ = 8527970304000.

The previous prime is 31376580037927. The next prime is 31376580037969. The reversal of 31376580037968 is 86973008567313.

It is a hoax number, since the sum of its digits (66) 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 (66).

It is a junction number, because it is equal to n+sod(n) for n = 31376580037899 and 31376580037908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31376580037969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6454755858 + ... + 6454760718.

It is an arithmetic number, because the mean of its divisors is an integer number (153314116956).

Almost surely, 2^{31376580037968} 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 31376580037968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49060517425920).

31376580037968 is an abundant number, since it is smaller than the sum of its proper divisors (66744454813872).

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

31376580037968 is a wasteful number, since it uses less digits than its factorization.

31376580037968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 31376580037968 in words is "thirty-one trillion, three hundred seventy-six billion, five hundred eighty million, thirty-seven thousand, nine hundred sixty-eight".