9968665356804 has 384 divisors, whose sum is σ = 30847006310400. Its totient is φ = 2425757368320.

The previous prime is 9968665356739. The next prime is 9968665356823. The reversal of 9968665356804 is 4086535668699.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6927494317 + ... + 6927495755.

It is an arithmetic number, because the mean of its divisors is an integer number (80330745600).

Almost surely, 2^{9968665356804} 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 9968665356804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423503155200).

9968665356804 is an abundant number, since it is smaller than the sum of its proper divisors (20878340953596).

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

9968665356804 is a wasteful number, since it uses less digits than its factorization.

9968665356804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 75.

The spelling of 9968665356804 in words is "nine trillion, nine hundred sixty-eight billion, six hundred sixty-five million, three hundred fifty-six thousand, eight hundred four".