90456583680 has 320 divisors, whose sum is σ = 321915021120. Its totient is φ = 24076320768.

The previous prime is 90456583669. The next prime is 90456583681. The reversal of 90456583680 is 8638565409.

It is a happy number.

90456583680 is a `hidden beast` number, since 9 + 0 + 4 + 56 + 583 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90456583681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53428914 + ... + 53430606.

It is an arithmetic number, because the mean of its divisors is an integer number (1005984441).

Almost surely, 2^90456583680 is an apocalyptic number.

90456583680 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 90456583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160957510560).

90456583680 is an abundant number, since it is smaller than the sum of its proper divisors (231458437440).

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

90456583680 is a wasteful number, since it uses less digits than its factorization.

90456583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 90456583680 in words is "ninety billion, four hundred fifty-six million, five hundred eighty-three thousand, six hundred eighty".