90720672000 has 576 divisors, whose sum is σ = 347413807104. Its totient is φ = 20553523200.

The previous prime is 90720671947. The next prime is 90720672017. The reversal of 90720672000 is 27602709.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85343469 + ... + 85344531.

Almost surely, 2^90720672000 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 90720672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173706903552).

90720672000 is an abundant number, since it is smaller than the sum of its proper divisors (256693135104).

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

90720672000 is a wasteful number, since it uses less digits than its factorization.

90720672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 90720672000 in words is "ninety billion, seven hundred twenty million, six hundred seventy-two thousand".