9768368105600 has 384 divisors, whose sum is σ = 26710810971600. Its totient is φ = 3506500730880.

The previous prime is 9768368105569. The next prime is 9768368105609. The reversal of 9768368105600 is 65018638679.

It can be written as a sum of positive squares in 24 ways, for example, as 712457541184 + 9055910564416 = 844072^2 + 3009304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9768368105600.

It is not an unprimeable number, because it can be changed into a prime (9768368105609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3492443402 + ... + 3492446198.

Almost surely, 2^{9768368105600} 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 9768368105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355405485800).

9768368105600 is an abundant number, since it is smaller than the sum of its proper divisors (16942442866000).

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

9768368105600 is a wasteful number, since it uses less digits than its factorization.

9768368105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 9768368105600 in words is "nine trillion, seven hundred sixty-eight billion, three hundred sixty-eight million, one hundred five thousand, six hundred".