90646002720 has 576 divisors, whose sum is σ = 392642691840. Its totient is φ = 19124232192.

The previous prime is 90646002709. The next prime is 90646002761. The reversal of 90646002720 is 2720064609.

It is a happy number.

90646002720 is a `hidden beast` number, since 9 + 0 + 6 + 4 + 600 + 27 + 20 = 666.

It is a super-2 number, since 2×90646002720² (a number of 23 digits) contains 22 as substring.

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

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, 5101692 + ... + 5119428.

It is an arithmetic number, because the mean of its divisors is an integer number (681671340).

Almost surely, 2^90646002720 is an apocalyptic number.

90646002720 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 90646002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196321345920).

90646002720 is an abundant number, since it is smaller than the sum of its proper divisors (301996689120).

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

90646002720 is a wasteful number, since it uses less digits than its factorization.

90646002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17794 (or 17767 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 90646002720 in words is "ninety billion, six hundred forty-six million, two thousand, seven hundred twenty".