90974038680 has 640 divisors, whose sum is σ = 371917370880. Its totient is φ = 19550730240.

The previous prime is 90974038657. The next prime is 90974038709. The reversal of 90974038680 is 8683047909.

90974038680 is a `hidden beast` number, since 90 + 97 + 403 + 8 + 68 + 0 = 666.

It is a super-2 number, since 2×90974038680² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 93690595 + ... + 93691565.

It is an arithmetic number, because the mean of its divisors is an integer number (581120892).

Almost surely, 2^90974038680 is an apocalyptic number.

90974038680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90974038680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185958685440).

90974038680 is an abundant number, since it is smaller than the sum of its proper divisors (280943332200).

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

90974038680 is an equidigital number, since it uses as much as digits as its factorization.

90974038680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 90974038680 in words is "ninety billion, nine hundred seventy-four million, thirty-eight thousand, six hundred eighty".