90684768000 has 576 divisors, whose sum is σ = 319517033472. Its totient is φ = 22748774400.

The previous prime is 90684767939. The next prime is 90684768011. The reversal of 90684768000 is 86748609.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147935694 + ... + 147936306.

It is an arithmetic number, because the mean of its divisors is an integer number (554717072).

Almost surely, 2^90684768000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90684768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159758516736).

90684768000 is an abundant number, since it is smaller than the sum of its proper divisors (228832265472).

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

90684768000 is a wasteful number, since it uses less digits than its factorization.

90684768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 90684768000 in words is "ninety billion, six hundred eighty-four million, seven hundred sixty-eight thousand".