8272656000 has 768 divisors, whose sum is σ = 35248262400. Its totient is φ = 1819238400.

The previous prime is 8272655983. The next prime is 8272656013. The reversal of 8272656000 is 6562728.

8272656000 is a `hidden beast` number, since 8 + 27 + 26 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29231859 + ... + 29232141.

It is an arithmetic number, because the mean of its divisors is an integer number (45896175).

Almost surely, 2^8272656000 is an apocalyptic number.

8272656000 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 8272656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624131200).

8272656000 is an abundant number, since it is smaller than the sum of its proper divisors (26975606400).

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

8272656000 is a wasteful number, since it uses less digits than its factorization.

8272656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8272656000 is about 90954.1422915966. The cubic root of 8272656000 is about 2022.4679830302.

The spelling of 8272656000 in words is "eight billion, two hundred seventy-two million, six hundred fifty-six thousand".