90674076960 has 576 divisors, whose sum is σ = 336259123200. Its totient is φ = 22176516096.

The previous prime is 90674076953. The next prime is 90674076967. The reversal of 90674076960 is 6967047609.

90674076960 is a `hidden beast` number, since 90 + 67 + 407 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90674076953) and next prime (90674076967).

It is a junction number, because it is equal to n+sod(n) for n = 90674076897 and 90674076906.

It is not an unprimeable number, because it can be changed into a prime (90674076967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137593111 + ... + 137593769.

It is an arithmetic number, because the mean of its divisors is an integer number (583783200).

Almost surely, 2^90674076960 is an apocalyptic number.

90674076960 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 90674076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168129561600).

90674076960 is an abundant number, since it is smaller than the sum of its proper divisors (245585046240).

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

90674076960 is a wasteful number, since it uses less digits than its factorization.

90674076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 90674076960 in words is "ninety billion, six hundred seventy-four million, seventy-six thousand, nine hundred sixty".