4568610816 has 768 divisors, whose sum is σ = 17926272000. Its totient is φ = 1114767360.

The previous prime is 4568610803. The next prime is 4568610859. The reversal of 4568610816 is 6180168654.

4568610816 is a `hidden beast` number, since 4 + 568 + 6 + 1 + 0 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123475950 + ... + 123475986.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^4568610816 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 4568610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136000).

4568610816 is an abundant number, since it is smaller than the sum of its proper divisors (13357661184).

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

4568610816 is a wasteful number, since it uses less digits than its factorization.

4568610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4568610816 is about 67591.4995838974. The cubic root of 4568610816 is about 1659.3120021153.

The spelling of 4568610816 in words is "four billion, five hundred sixty-eight million, six hundred ten thousand, eight hundred sixteen".