990765569664000 has 1056 divisors, whose sum is σ = 3873007358359776. Its totient is φ = 242100102758400.

The previous prime is 990765569663993. The next prime is 990765569664007. The reversal of 990765569664000 is 466965567099.

990765569664000 is a `hidden beast` number, since 9 + 9 + 0 + 7 + 6 + 556 + 9 + 6 + 64 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (990765569663993) and next prime (990765569664007).

It can be written as a sum of positive squares in 16 ways, for example, as 693148419154944 + 297617150509056 = 26327712^2 + 17251584^2 .

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 990765569664000.

It is not an unprimeable number, because it can be changed into a prime (990765569664007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2051470552 + ... + 2051953448.

Almost surely, 2^{990765569664000} is an apocalyptic number.

990765569664000 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 990765569664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936503679179888).

990765569664000 is an abundant number, since it is smaller than the sum of its proper divisors (2882241788695776).

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

990765569664000 is a wasteful number, since it uses less digits than its factorization.

990765569664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483088 (or 483057 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 990765569664000 in words is "nine hundred ninety trillion, seven hundred sixty-five billion, five hundred sixty-nine million, six hundred sixty-four thousand".