9968329302160 has 240 divisors, whose sum is σ = 24601309915392. Its totient is φ = 3755770675200.

The previous prime is 9968329302073. The next prime is 9968329302193. The reversal of 9968329302160 is 612039238699.

It is a junction number, because it is equal to n+sod(n) for n = 9968329302095 and 9968329302104.

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 47 ways as a sum of consecutive naturals, for example, 5016772687 + ... + 5016774673.

Almost surely, 2^{9968329302160} 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 9968329302160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300654957696).

9968329302160 is an abundant number, since it is smaller than the sum of its proper divisors (14632980613232).

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

9968329302160 is a wasteful number, since it uses less digits than its factorization.

9968329302160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 9968329302160 in words is "nine trillion, nine hundred sixty-eight billion, three hundred twenty-nine million, three hundred two thousand, one hundred sixty".