9997068256800 has 576 divisors, whose sum is σ = 36895478538240. Its totient is φ = 2337831936000.

The previous prime is 9997068256789. The next prime is 9997068256807. The reversal of 9997068256800 is 86528607999.

9997068256800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9997068256800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (9997068256807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32359060 + ... + 32666540.

It is an arithmetic number, because the mean of its divisors is an integer number (64054650240).

Almost surely, 2^{9997068256800} 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 9997068256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18447739269120).

9997068256800 is an abundant number, since it is smaller than the sum of its proper divisors (26898410281440).

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

9997068256800 is a wasteful number, since it uses less digits than its factorization.

9997068256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307577 (or 307564 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 9997068256800 in words is "nine trillion, nine hundred ninety-seven billion, sixty-eight million, two hundred fifty-six thousand, eight hundred".