90637056000 has 1152 divisors, whose sum is σ = 357166817280. Its totient is φ = 22892544000.

The previous prime is 90637055987. The next prime is 90637056071. The reversal of 90637056000 is 65073609.

It is a happy number.

90637056000 is a `hidden beast` number, since 90 + 6 + 3 + 7 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1928447977 + ... + 1928448023.

It is an arithmetic number, because the mean of its divisors is an integer number (310040640).

Almost surely, 2^90637056000 is an apocalyptic number.

90637056000 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 90637056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178583408640).

90637056000 is an abundant number, since it is smaller than the sum of its proper divisors (266529761280).

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

90637056000 is an equidigital number, since it uses as much as digits as its factorization.

90637056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 90637056000 in words is "ninety billion, six hundred thirty-seven million, fifty-six thousand".