9768621648780 has 144 divisors (see below), whose sum is σ = 30701052345600. Its totient is φ = 2511562728960.

The previous prime is 9768621648761. The next prime is 9768621648833. The reversal of 9768621648780 is 878461268679.

9768621648780 is a `hidden beast` number, since 9 + 7 + 6 + 8 + 62 + 1 + 6 + 487 + 80 = 666.

9768621648780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9768621648699 and 9768621648708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1752975 + ... + 4755014.

It is an arithmetic number, because the mean of its divisors is an integer number (213201752400).

Almost surely, 2^{9768621648780} is an apocalyptic number.

9768621648780 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9768621648780 is an abundant number, since it is smaller than the sum of its proper divisors (20932430696820).

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

9768621648780 is a wasteful number, since it uses less digits than its factorization.

9768621648780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508304 (or 6508299 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 9768621648780 in words is "nine trillion, seven hundred sixty-eight billion, six hundred twenty-one million, six hundred forty-eight thousand, seven hundred eighty".