4872744864 has 576 divisors, whose sum is σ = 16951334400. Its totient is φ = 1363848192.

The previous prime is 4872744857. The next prime is 4872744887. The reversal of 4872744864 is 4684472784.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4872744864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82588867 + ... + 82588925.

It is an arithmetic number, because the mean of its divisors is an integer number (29429400).

Almost surely, 2^4872744864 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 4872744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475667200).

4872744864 is an abundant number, since it is smaller than the sum of its proper divisors (12078589536).

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

4872744864 is a wasteful number, since it uses less digits than its factorization.

4872744864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The square root of 4872744864 is about 69805.0489864451. The cubic root of 4872744864 is about 1695.3442233000.

The spelling of 4872744864 in words is "four billion, eight hundred seventy-two million, seven hundred forty-four thousand, eight hundred sixty-four".