990677827584 has 275 divisors, whose sum is σ = 2972016616963. Its totient is φ = 330225942528.

The previous prime is 990677827547. The next prime is 990677827589. The reversal of 990677827584 is 485728776099.

The square root of 990677827584 is 995328.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁷ ⋅ (3!)³.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=6912.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (990677827589) by changing a digit.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 330225942527 + 330225942528 + 330225942529.

Almost surely, 2^990677827584 is an apocalyptic number.

990677827584 is the 995328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990677827584

990677827584 is an abundant number, since it is smaller than the sum of its proper divisors (1981338789379).

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

990677827584 is an frugal number, since it uses more digits than its factorization.

990677827584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

Multiplying 990677827584 by its sum of digits (72), we get a cube (71328803586048 = 41472³).

The spelling of 990677827584 in words is "nine hundred ninety billion, six hundred seventy-seven million, eight hundred twenty-seven thousand, five hundred eighty-four".