9768427680 has 192 divisors, whose sum is σ = 33915708288. Its totient is φ = 2343567360.

The previous prime is 9768427673. The next prime is 9768427703. The reversal of 9768427680 is 867248679.

It is a self number, because there is not a number n which added to its sum of digits gives 9768427680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502624 + ... + 521696.

It is an arithmetic number, because the mean of its divisors is an integer number (176644314).

Almost surely, 2^9768427680 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 9768427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957854144).

9768427680 is an abundant number, since it is smaller than the sum of its proper divisors (24147280608).

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

9768427680 is a wasteful number, since it uses less digits than its factorization.

9768427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19199 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The square root of 9768427680 is about 98835.3564267363. The cubic root of 9768427680 is about 2137.6743944439.

The spelling of 9768427680 in words is "nine billion, seven hundred sixty-eight million, four hundred twenty-seven thousand, six hundred eighty".