4652568576 has 156 divisors (see below), whose sum is σ = 13666028220. Its totient is φ = 1524695040.

The previous prime is 4652568541. The next prime is 4652568577. The reversal of 4652568576 is 6758652564.

4652568576 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 5 + 68 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 391090176 + 4261478400 = 19776^2 + 65280^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (12096000) is a multiple of the sum of its prime factors (2160).

It is not an unprimeable number, because it can be changed into a prime (4652568577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2247670 + ... + 2249738.

It is an arithmetic number, because the mean of its divisors is an integer number (87602745).

Almost surely, 2^4652568576 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 4652568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833014110).

4652568576 is an abundant number, since it is smaller than the sum of its proper divisors (9013459644).

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

4652568576 is a wasteful number, since it uses less digits than its factorization.

4652568576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2135 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 4652568576 is about 68209.7395978023. The cubic root of 4652568576 is about 1669.4148063774.

The spelling of 4652568576 in words is "four billion, six hundred fifty-two million, five hundred sixty-eight thousand, five hundred seventy-six".