4772560600 has 96 divisors (see below), whose sum is σ = 11721124800. Its totient is φ = 1802217600.

The previous prime is 4772560579. The next prime is 4772560627. The reversal of 4772560600 is 60652774.

It is a self number, because there is not a number n which added to its sum of digits gives 4772560600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164555 + ... + 1168645.

It is an arithmetic number, because the mean of its divisors is an integer number (122095050).

Almost surely, 2^4772560600 is an apocalyptic number.

4772560600 is a gapful number since it is divisible by the number (40) 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 4772560600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860562400).

4772560600 is an abundant number, since it is smaller than the sum of its proper divisors (6948564200).

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

4772560600 is a wasteful number, since it uses less digits than its factorization.

4772560600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 4772560600 is about 69083.7216716065. The cubic root of 4772560600 is about 1683.6448407812.

The spelling of 4772560600 in words is "four billion, seven hundred seventy-two million, five hundred sixty thousand, six hundred".