90768516800968 has 64 divisors (see below), whose sum is σ = 190843604876160. Its totient is φ = 40247627160576.

The previous prime is 90768516800959. The next prime is 90768516800977. The reversal of 90768516800968 is 86900861586709.

It is an interprime number because it is at equal distance from previous prime (90768516800959) and next prime (90768516800977).

It is a super-2 number, since 2×90768516800968² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90768516800968.

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, 216343171 + ... + 216762322.

It is an arithmetic number, because the mean of its divisors is an integer number (2981931326190).

Almost surely, 2^{90768516800968} is an apocalyptic number.

It is an amenable number.

90768516800968 is an abundant number, since it is smaller than the sum of its proper divisors (100075088075192).

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

90768516800968 is a wasteful number, since it uses less digits than its factorization.

90768516800968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433105606 (or 433105602 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 73.

The spelling of 90768516800968 in words is "ninety trillion, seven hundred sixty-eight billion, five hundred sixteen million, eight hundred thousand, nine hundred sixty-eight".