9965964320 has 192 divisors, whose sum is σ = 26401406976. Its totient is φ = 3530096640.

The previous prime is 9965964317. The next prime is 9965964361. The reversal of 9965964320 is 234695699.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8188352 + ... + 8189568.

It is an arithmetic number, because the mean of its divisors is an integer number (137507328).

Almost surely, 2^9965964320 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 9965964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200703488).

9965964320 is an abundant number, since it is smaller than the sum of its proper divisors (16435442656).

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

9965964320 is a wasteful number, since it uses less digits than its factorization.

9965964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 53.

The square root of 9965964320 is about 99829.6765496112. The cubic root of 9965964320 is about 2151.9876567241.

The spelling of 9965964320 in words is "nine billion, nine hundred sixty-five million, nine hundred sixty-four thousand, three hundred twenty".