90943616736 has 864 divisors, whose sum is σ = 335504332800. Its totient is φ = 22835312640.

The previous prime is 90943616711. The next prime is 90943616759. The reversal of 90943616736 is 63761634909.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 654270555 + ... + 654270693.

It is an arithmetic number, because the mean of its divisors is an integer number (388315200).

Almost surely, 2^90943616736 is an apocalyptic number.

90943616736 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 90943616736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167752166400).

90943616736 is an abundant number, since it is smaller than the sum of its proper divisors (244560716064).

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

90943616736 is a wasteful number, since it uses less digits than its factorization.

90943616736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 90943616736 in words is "ninety billion, nine hundred forty-three million, six hundred sixteen thousand, seven hundred thirty-six".