90823796640 has 288 divisors, whose sum is σ = 323484295680. Its totient is φ = 24063796224.

The previous prime is 90823796627. The next prime is 90823796681. The reversal of 90823796640 is 4669732809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×90823796640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6096721 + ... + 6111599.

It is an arithmetic number, because the mean of its divisors is an integer number (1123209360).

Almost surely, 2^90823796640 is an apocalyptic number.

90823796640 is a gapful number since it is divisible by the number (90) 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 90823796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161742147840).

90823796640 is an abundant number, since it is smaller than the sum of its proper divisors (232660499040).

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

90823796640 is a wasteful number, since it uses less digits than its factorization.

90823796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 90823796640 in words is "ninety billion, eight hundred twenty-three million, seven hundred ninety-six thousand, six hundred forty".