90225636480 has 1536 divisors, whose sum is σ = 400859020800. Its totient is φ = 19074908160.

The previous prime is 90225636407. The next prime is 90225636481. The reversal of 90225636480 is 8463652209.

90225636480 is a `hidden beast` number, since 9 + 0 + 2 + 2 + 5 + 636 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×90225636480² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90225636481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 798456904 + ... + 798457016.

It is an arithmetic number, because the mean of its divisors is an integer number (260975925).

Almost surely, 2^90225636480 is an apocalyptic number.

90225636480 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 90225636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200429510400).

90225636480 is an abundant number, since it is smaller than the sum of its proper divisors (310633384320).

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

90225636480 is a wasteful number, since it uses less digits than its factorization.

90225636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90225636480 in words is "ninety billion, two hundred twenty-five million, six hundred thirty-six thousand, four hundred eighty".