90660366720 has 1024 divisors, whose sum is σ = 407245363200. Its totient is φ = 18513100800.

The previous prime is 90660366707. The next prime is 90660366743. The reversal of 90660366720 is 2766306609.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 81163602 + ... + 81164718.

It is an arithmetic number, because the mean of its divisors is an integer number (397700550).

Almost surely, 2^90660366720 is an apocalyptic number.

90660366720 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 90660366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203622681600).

90660366720 is an abundant number, since it is smaller than the sum of its proper divisors (316584996480).

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

90660366720 is a wasteful number, since it uses less digits than its factorization.

90660366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 90660366720 in words is "ninety billion, six hundred sixty million, three hundred sixty-six thousand, seven hundred twenty".