9893446560768 has 352 divisors, whose sum is σ = 27762577613056. Its totient is φ = 3129374932992.

The previous prime is 9893446560761. The next prime is 9893446560791. The reversal of 9893446560768 is 8670656443989.

It is a self number, because there is not a number n which added to its sum of digits gives 9893446560768.

It is not an unprimeable number, because it can be changed into a prime (9893446560761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646073880 + ... + 646089192.

It is an arithmetic number, because the mean of its divisors is an integer number (78870959128).

Almost surely, 2^{9893446560768} 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 9893446560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881288806528).

9893446560768 is an abundant number, since it is smaller than the sum of its proper divisors (17869131052288).

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

9893446560768 is a wasteful number, since it uses less digits than its factorization.

9893446560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15519 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 75.

The spelling of 9893446560768 in words is "nine trillion, eight hundred ninety-three billion, four hundred forty-six million, five hundred sixty thousand, seven hundred sixty-eight".