90646768656 has 80 divisors (see below), whose sum is σ = 260239196800. Its totient is φ = 30209853312.

The previous prime is 90646768643. The next prime is 90646768657. The reversal of 90646768656 is 65686764609.

90646768656 is a `hidden beast` number, since 90 + 6 + 467 + 6 + 86 + 5 + 6 = 666.

It is a super-3 number, since 3×90646768656³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90646768593 and 90646768602.

It is not an unprimeable number, because it can be changed into a prime (90646768657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2681910 + ... + 2715498.

It is an arithmetic number, because the mean of its divisors is an integer number (3252989960).

Almost surely, 2^90646768656 is an apocalyptic number.

It is an amenable number.

90646768656 is an abundant number, since it is smaller than the sum of its proper divisors (169592428144).

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

90646768656 is a wasteful number, since it uses less digits than its factorization.

90646768656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39853 (or 39841 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 90646768656 in words is "ninety billion, six hundred forty-six million, seven hundred sixty-eight thousand, six hundred fifty-six".