9768788001 has 40 divisors (see below), whose sum is σ = 16685617344. Its totient is φ = 5579474400.

The previous prime is 9768787981. The next prime is 9768788053. The reversal of 9768788001 is 1008878679.

It is not a de Polignac number, because 9768788001 - 2⁵ = 9768787969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9768788401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2294791 + ... + 2299043.

Almost surely, 2^9768788001 is an apocalyptic number.

It is an amenable number.

9768788001 is a deficient number, since it is larger than the sum of its proper divisors (6916829343).

9768788001 is a wasteful number, since it uses less digits than its factorization.

9768788001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 9768788001 is about 98837.1792444523. The cubic root of 9768788001 is about 2137.7006777425.

The spelling of 9768788001 in words is "nine billion, seven hundred sixty-eight million, seven hundred eighty-eight thousand, one".