9682319928960 has 384 divisors, whose sum is σ = 38858230569600. Its totient is φ = 2175590965248.

The previous prime is 9682319928947. The next prime is 9682319928991. The reversal of 9682319928960 is 698299132869.

9682319928960 is a `hidden beast` number, since 96 + 8 + 2 + 319 + 92 + 89 + 60 = 666.

9682319928960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 343822 + ... + 4413938.

It is an arithmetic number, because the mean of its divisors is an integer number (101193308775).

Almost surely, 2^{9682319928960} is an apocalyptic number.

9682319928960 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 9682319928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429115284800).

9682319928960 is an abundant number, since it is smaller than the sum of its proper divisors (29175910640640).

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

9682319928960 is a wasteful number, since it uses less digits than its factorization.

9682319928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070208 (or 4070193 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 9682319928960 in words is "nine trillion, six hundred eighty-two billion, three hundred nineteen million, nine hundred twenty-eight thousand, nine hundred sixty".