31668061968 has 200 divisors, whose sum is σ = 93426817176. Its totient is φ = 10354176000.

The previous prime is 31668061949. The next prime is 31668062017. The reversal of 31668061968 is 86916086613.

31668061968 is a `hidden beast` number, since 3 + 16 + 6 + 8 + 0 + 619 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11416495104 + 20251566864 = 106848^2 + 142308^2 .

It is a super-2 number, since 2×31668061968² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14790178 + ... + 14792318.

Almost surely, 2^31668061968 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 31668061968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46713408588).

31668061968 is an abundant number, since it is smaller than the sum of its proper divisors (61758755208).

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

31668061968 is a wasteful number, since it uses less digits than its factorization.

31668061968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 31668061968 in words is "thirty-one billion, six hundred sixty-eight million, sixty-one thousand, nine hundred sixty-eight".