90995906736 has 480 divisors, whose sum is σ = 312305011200. Its totient is φ = 25112125440.

The previous prime is 90995906623. The next prime is 90995906741. The reversal of 90995906736 is 63760959909.

90995906736 is a `hidden beast` number, since 9 + 0 + 9 + 9 + 590 + 6 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97949920 + ... + 97950848.

It is an arithmetic number, because the mean of its divisors is an integer number (650635440).

Almost surely, 2^90995906736 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 90995906736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156152505600).

90995906736 is an abundant number, since it is smaller than the sum of its proper divisors (221309104464).

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

90995906736 is a wasteful number, since it uses less digits than its factorization.

90995906736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 63.

The spelling of 90995906736 in words is "ninety billion, nine hundred ninety-five million, nine hundred six thousand, seven hundred thirty-six".