90400802688 has 384 divisors, whose sum is σ = 302903377920. Its totient is φ = 25347022848.

The previous prime is 90400802683. The next prime is 90400802699. The reversal of 90400802688 is 88620800409.

It is a happy number.

90400802688 is a `hidden beast` number, since 90 + 400 + 80 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90400802683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105484756 + ... + 105485612.

It is an arithmetic number, because the mean of its divisors is an integer number (788810880).

Almost surely, 2^90400802688 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 90400802688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151451688960).

90400802688 is an abundant number, since it is smaller than the sum of its proper divisors (212502575232).

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

90400802688 is a wasteful number, since it uses less digits than its factorization.

90400802688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 90400802688 in words is "ninety billion, four hundred million, eight hundred two thousand, six hundred eighty-eight".