90429991680 has 576 divisors, whose sum is σ = 338844312576. Its totient is φ = 20127744000.

The previous prime is 90429991679. The next prime is 90429991699. The reversal of 90429991680 is 8619992409.

It is a self number, because there is not a number n which added to its sum of digits gives 90429991680.

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, 214797870 + ... + 214798290.

It is an arithmetic number, because the mean of its divisors is an integer number (588271376).

Almost surely, 2^90429991680 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 90429991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169422156288).

90429991680 is an abundant number, since it is smaller than the sum of its proper divisors (248414320896).

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

90429991680 is a wasteful number, since it uses less digits than its factorization.

90429991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The spelling of 90429991680 in words is "ninety billion, four hundred twenty-nine million, nine hundred ninety-one thousand, six hundred eighty".