9990634580784 has 1600 divisors, whose sum is σ = 36885860487168. Its totient is φ = 2567796940800.

The previous prime is 9990634580779. The next prime is 9990634580831. The reversal of 9990634580784 is 4870854360999.

9990634580784 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 6 + 34 + 580 + 7 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9140561742 + ... + 9140562834.

Almost surely, 2^{9990634580784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990634580784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18442930243584).

9990634580784 is an abundant number, since it is smaller than the sum of its proper divisors (26895225906384).

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

9990634580784 is a wasteful number, since it uses less digits than its factorization.

9990634580784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 9990634580784 in words is "nine trillion, nine hundred ninety billion, six hundred thirty-four million, five hundred eighty thousand, seven hundred eighty-four".