31817610768 has 80 divisors (see below), whose sum is σ = 85092678720. Its totient is φ = 10232581632.

The previous prime is 31817610757. The next prime is 31817610779. The reversal of 31817610768 is 86701671813.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31817610757) and next prime (31817610779).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2056630 + ... + 2072042.

It is an arithmetic number, because the mean of its divisors is an integer number (1063658484).

Almost surely, 2^31817610768 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 31817610768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42546339360).

31817610768 is an abundant number, since it is smaller than the sum of its proper divisors (53275067952).

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

31817610768 is a wasteful number, since it uses less digits than its factorization.

31817610768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16936 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 31817610768 in words is "thirty-one billion, eight hundred seventeen million, six hundred ten thousand, seven hundred sixty-eight".