90170048640 has 512 divisors, whose sum is σ = 333933834240. Its totient is φ = 20271513600.

The previous prime is 90170048623. The next prime is 90170048663. The reversal of 90170048640 is 4684007109.

It is a happy number.

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, 318621939 + ... + 318622221.

It is an arithmetic number, because the mean of its divisors is an integer number (652214520).

Almost surely, 2^90170048640 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 90170048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166966917120).

90170048640 is an abundant number, since it is smaller than the sum of its proper divisors (243763785600).

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

90170048640 is a wasteful number, since it uses less digits than its factorization.

90170048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 90170048640 in words is "ninety billion, one hundred seventy million, forty-eight thousand, six hundred forty".