90742056300 has 1008 divisors, whose sum is σ = 364310016000. Its totient is φ = 19546531200.

The previous prime is 90742056287. The next prime is 90742056341. The reversal of 90742056300 is 365024709.

90742056300 is a `hidden beast` number, since 9 + 0 + 74 + 20 + 563 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 475089205 + ... + 475089395.

Almost surely, 2^90742056300 is an apocalyptic number.

90742056300 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 90742056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182155008000).

90742056300 is an abundant number, since it is smaller than the sum of its proper divisors (273567959700).

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

90742056300 is a wasteful number, since it uses less digits than its factorization.

90742056300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 90742056300 in words is "ninety billion, seven hundred forty-two million, fifty-six thousand, three hundred".