90636088320 has 176 divisors, whose sum is σ = 322104784320. Its totient is φ = 24169586688.

The previous prime is 90636088267. The next prime is 90636088327. The reversal of 90636088320 is 2388063609.

90636088320 is a `hidden beast` number, since 9 + 0 + 6 + 3 + 608 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90636088327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189582 + ... + 466061.

It is an arithmetic number, because the mean of its divisors is an integer number (1830140820).

Almost surely, 2^90636088320 is an apocalyptic number.

90636088320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90636088320 is an abundant number, since it is smaller than the sum of its proper divisors (231468696000).

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

90636088320 is a wasteful number, since it uses less digits than its factorization.

90636088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655677 (or 655653 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 90636088320 in words is "ninety billion, six hundred thirty-six million, eighty-eight thousand, three hundred twenty".