9683328960 has 168 divisors, whose sum is σ = 33935578560. Its totient is φ = 2533459968.

The previous prime is 9683328881. The next prime is 9683329003. The reversal of 9683328960 is 698233869.

It is a junction number, because it is equal to n+sod(n) for n = 9683328897 and 9683328906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120921 + ... + 184359.

Almost surely, 2^9683328960 is an apocalyptic number.

9683328960 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 9683328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967789280).

9683328960 is an abundant number, since it is smaller than the sum of its proper divisors (24252249600).

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

9683328960 is a wasteful number, since it uses less digits than its factorization.

9683328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63515 (or 63502 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9683328960 is about 98403.9072394994. The cubic root of 9683328960 is about 2131.4487531926.

The spelling of 9683328960 in words is "nine billion, six hundred eighty-three million, three hundred twenty-eight thousand, nine hundred sixty".