90844830720 has 1408 divisors, whose sum is σ = 399626803200. Its totient is φ = 19349176320.

The previous prime is 90844830709. The next prime is 90844830737. The reversal of 90844830720 is 2703844809.

90844830720 is a `hidden beast` number, since 90 + 84 + 483 + 0 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1489259490 + ... + 1489259550.

Almost surely, 2^90844830720 is an apocalyptic number.

90844830720 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 90844830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199813401600).

90844830720 is an abundant number, since it is smaller than the sum of its proper divisors (308781972480).

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

90844830720 is an equidigital number, since it uses as much as digits as its factorization.

90844830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 90844830720 in words is "ninety billion, eight hundred forty-four million, eight hundred thirty thousand, seven hundred twenty".