990677827584000 has 1232 divisors, whose sum is σ = 3709076834691540. Its totient is φ = 264180754022400.

The previous prime is 990677827583923. The next prime is 990677827584017. The reversal of 990677827584000 is 485728776099.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (4!)⁴ ⋅ (2!)³.

990677827584000 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 77 + 82 + 75 + 8 + 400 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 669698211446784 + 320979616137216 = 25878528^2 + 17915904^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=69120.

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

It is a self number, because there is not a number n which added to its sum of digits gives 990677827584000.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 198135565516798 + ... + 198135565516802.

Almost surely, 2^{990677827584000} is an apocalyptic number.

990677827584000 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 990677827584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854538417345770).

990677827584000 is an abundant number, since it is smaller than the sum of its proper divisors (2718399007107540).

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

990677827584000 is an frugal number, since it uses more digits than its factorization.

990677827584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 10 counting only the distinct ones).

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

The spelling of 990677827584000 in words is "nine hundred ninety trillion, six hundred seventy-seven billion, eight hundred twenty-seven million, five hundred eighty-four thousand".