90409000764 has 48 divisors (see below), whose sum is σ = 212959587456. Its totient is φ = 29850724800.

The previous prime is 90409000763. The next prime is 90409000777. The reversal of 90409000764 is 46700090409.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90409000763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797299 + ... + 903605.

It is an arithmetic number, because the mean of its divisors is an integer number (4436658072).

Almost surely, 2^90409000764 is an apocalyptic number.

It is an amenable number.

90409000764 is an abundant number, since it is smaller than the sum of its proper divisors (122550586692).

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

90409000764 is a wasteful number, since it uses less digits than its factorization.

90409000764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106986 (or 106984 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 90409000764 in words is "ninety billion, four hundred nine million, seven hundred sixty-four", and thus it is an aban number.