90793339776 has 256 divisors, whose sum is σ = 287183692800. Its totient is φ = 28165294080.

The previous prime is 90793339759. The next prime is 90793339783. The reversal of 90793339776 is 67793339709.

90793339776 is a `hidden beast` number, since 90 + 7 + 93 + 3 + 397 + 76 = 666.

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, 2925621 + ... + 2956491.

It is an arithmetic number, because the mean of its divisors is an integer number (1121811300).

Almost surely, 2^90793339776 is an apocalyptic number.

90793339776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90793339776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143591846400).

90793339776 is an abundant number, since it is smaller than the sum of its proper divisors (196390353024).

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

90793339776 is a wasteful number, since it uses less digits than its factorization.

90793339776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30954 (or 30936 counting only the distinct ones).

The product of its (nonzero) digits is 40507614, while the sum is 63.

The spelling of 90793339776 in words is "ninety billion, seven hundred ninety-three million, three hundred thirty-nine thousand, seven hundred seventy-six".