90657493920 has 960 divisors, whose sum is σ = 400708788480. Its totient is φ = 18820988928.

The previous prime is 90657493889. The next prime is 90657494027. The reversal of 90657493920 is 2939475609.

90657493920 is a `hidden beast` number, since 9 + 0 + 65 + 7 + 493 + 92 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 44723947 + ... + 44725973.

It is an arithmetic number, because the mean of its divisors is an integer number (417404988).

Almost surely, 2^90657493920 is an apocalyptic number.

90657493920 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 90657493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200354394240).

90657493920 is an abundant number, since it is smaller than the sum of its proper divisors (310051294560).

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

90657493920 is a wasteful number, since it uses less digits than its factorization.

90657493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 90657493920 in words is "ninety billion, six hundred fifty-seven million, four hundred ninety-three thousand, nine hundred twenty".