9768423536928 has 864 divisors, whose sum is σ = 33684998256000. Its totient is φ = 2628720967680.

The previous prime is 9768423536903. The next prime is 9768423536947. The reversal of 9768423536928 is 8296353248679.

It is a happy number.

9768423536928 is a `hidden beast` number, since 9 + 7 + 6 + 8 + 4 + 235 + 369 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (940584960) is a multiple of the sum of its prime factors (810).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19575998823 + ... + 19575999321.

It is an arithmetic number, because the mean of its divisors is an integer number (38987266500).

Almost surely, 2^{9768423536928} 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 9768423536928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842499128000).

9768423536928 is an abundant number, since it is smaller than the sum of its proper divisors (23916574719072).

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

9768423536928 is a wasteful number, since it uses less digits than its factorization.

9768423536928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 762 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 9768423536928 in words is "nine trillion, seven hundred sixty-eight billion, four hundred twenty-three million, five hundred thirty-six thousand, nine hundred twenty-eight".