8927566800768 has 1728 divisors, whose sum is σ = 34035436234800. Its totient is φ = 2236532981760.

The previous prime is 8927566800749. The next prime is 8927566800797. The reversal of 8927566800768 is 8670086657298.

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

It is a junction number, because it is equal to n+sod(n) for n = 8927566800696 and 8927566800705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33187980538 + ... + 33187980806.

Almost surely, 2^{8927566800768} is an apocalyptic number.

8927566800768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8927566800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017718117400).

8927566800768 is an abundant number, since it is smaller than the sum of its proper divisors (25107869434032).

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

8927566800768 is a wasteful number, since it uses less digits than its factorization.

8927566800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 8927566800768 in words is "eight trillion, nine hundred twenty-seven billion, five hundred sixty-six million, eight hundred thousand, seven hundred sixty-eight".