90722968000 has 224 divisors, whose sum is σ = 260034877440. Its totient is φ = 30709785600.

The previous prime is 90722967947. The next prime is 90722968027. The reversal of 90722968000 is 86922709.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4413747 + ... + 4434253.

Almost surely, 2^90722968000 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 90722968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130017438720).

90722968000 is an abundant number, since it is smaller than the sum of its proper divisors (169311909440).

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

90722968000 is a wasteful number, since it uses less digits than its factorization.

90722968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20620 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 90722968000 in words is "ninety billion, seven hundred twenty-two million, nine hundred sixty-eight thousand".