4509568800 has 432 divisors, whose sum is σ = 17556188832. Its totient is φ = 1080115200.

The previous prime is 4509568783. The next prime is 4509568823. The reversal of 4509568800 is 88659054.

4509568800 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 568 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 7682107 + ... + 7682693.

It is an arithmetic number, because the mean of its divisors is an integer number (40639326).

Almost surely, 2^4509568800 is an apocalyptic number.

4509568800 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 4509568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778094416).

4509568800 is an abundant number, since it is smaller than the sum of its proper divisors (13046620032).

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

4509568800 is a wasteful number, since it uses less digits than its factorization.

4509568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4509568800 is about 67153.3230748859. The cubic root of 4509568800 is about 1652.1329990029.

The spelling of 4509568800 in words is "four billion, five hundred nine million, five hundred sixty-eight thousand, eight hundred".