9990353977344 has 864 divisors, whose sum is σ = 33526915367400. Its totient is φ = 2967956619264.

The previous prime is 9990353977333. The next prime is 9990353977369. The reversal of 9990353977344 is 4437793530999.

9990353977344 is a `hidden beast` number, since 99 + 90 + 35 + 397 + 7 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344494964722 + ... + 344494964750.

Almost surely, 2^{9990353977344} 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 9990353977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763457683700).

9990353977344 is an abundant number, since it is smaller than the sum of its proper divisors (23536561390056).

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

9990353977344 is an frugal number, since it uses more digits than its factorization.

9990353977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 694416240, while the sum is 72.

The spelling of 9990353977344 in words is "nine trillion, nine hundred ninety billion, three hundred fifty-three million, nine hundred seventy-seven thousand, three hundred forty-four".