9908939790720 has 384 divisors, whose sum is σ = 36206343014400. Its totient is φ = 2490199511040.

The previous prime is 9908939790677. The next prime is 9908939790733. The reversal of 9908939790720 is 270979398099.

9908939790720 is a `hidden beast` number, since 9 + 9 + 0 + 89 + 397 + 90 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9908939790720² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 20666019 + ... + 21140061.

It is an arithmetic number, because the mean of its divisors is an integer number (94287351600).

Almost surely, 2^{9908939790720} is an apocalyptic number.

9908939790720 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 9908939790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103171507200).

9908939790720 is an abundant number, since it is smaller than the sum of its proper divisors (26297403223680).

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

9908939790720 is a wasteful number, since it uses less digits than its factorization.

9908939790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474278 (or 474263 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 9908939790720 in words is "nine trillion, nine hundred eight billion, nine hundred thirty-nine million, seven hundred ninety thousand, seven hundred twenty".