4560022656 has 320 divisors, whose sum is σ = 15716796480. Its totient is φ = 1285466112.

The previous prime is 4560022627. The next prime is 4560022661. The reversal of 4560022656 is 6562200654.

4560022656 is a `hidden beast` number, since 45 + 600 + 2 + 2 + 6 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4560022656.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6023430 + ... + 6024186.

It is an arithmetic number, because the mean of its divisors is an integer number (49114989).

Almost surely, 2^4560022656 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 4560022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858398240).

4560022656 is an abundant number, since it is smaller than the sum of its proper divisors (11156773824).

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

4560022656 is an equidigital number, since it uses as much as digits as its factorization.

4560022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4560022656 is about 67527.9398175303. The cubic root of 4560022656 is about 1658.2716146914.

The spelling of 4560022656 in words is "four billion, five hundred sixty million, twenty-two thousand, six hundred fifty-six".