8643792000 has 512 divisors, whose sum is σ = 30571407360. Its totient is φ = 2156544000.

The previous prime is 8643791993. The next prime is 8643792011. The reversal of 8643792000 is 2973468.

It is a self number, because there is not a number n which added to its sum of digits gives 8643792000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55055922 + ... + 55056078.

It is an arithmetic number, because the mean of its divisors is an integer number (59709780).

Almost surely, 2^8643792000 is an apocalyptic number.

8643792000 is a gapful number since it is divisible by the number (80) 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 8643792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285703680).

8643792000 is an abundant number, since it is smaller than the sum of its proper divisors (21927615360).

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

8643792000 is a wasteful number, since it uses less digits than its factorization.

8643792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 8643792000 is about 92971.9957836767. The cubic root of 8643792000 is about 2052.2712878825.

The spelling of 8643792000 in words is "eight billion, six hundred forty-three million, seven hundred ninety-two thousand".