4752656800 has 72 divisors (see below), whose sum is σ = 11619568800. Its totient is φ = 1898254080.

The previous prime is 4752656767. The next prime is 4752656803. The reversal of 4752656800 is 86562574.

It is not an unprimeable number, because it can be changed into a prime (4752656803) 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, 587181 + ... + 595219.

It is an arithmetic number, because the mean of its divisors is an integer number (161382900).

Almost surely, 2^4752656800 is an apocalyptic number.

4752656800 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 4752656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809784400).

4752656800 is an abundant number, since it is smaller than the sum of its proper divisors (6866912000).

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

4752656800 is a wasteful number, since it uses less digits than its factorization.

4752656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 4752656800 is about 68939.5155190403. The cubic root of 4752656800 is about 1681.3010518717.

The spelling of 4752656800 in words is "four billion, seven hundred fifty-two million, six hundred fifty-six thousand, eight hundred".