9680113960320 has 256 divisors, whose sum is σ = 31301858246400. Its totient is φ = 2544158859264.

The previous prime is 9680113960291. The next prime is 9680113960331. The reversal of 9680113960320 is 230693110869.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9680113960320.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 66699354 + ... + 66844326.

It is an arithmetic number, because the mean of its divisors is an integer number (122272883775).

Almost surely, 2^{9680113960320} 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 9680113960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650929123200).

9680113960320 is an abundant number, since it is smaller than the sum of its proper divisors (21621744286080).

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

9680113960320 is a wasteful number, since it uses less digits than its factorization.

9680113960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145497 (or 145485 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 9680113960320 in words is "nine trillion, six hundred eighty billion, one hundred thirteen million, nine hundred sixty thousand, three hundred twenty".