5004568800 has 1440 divisors, whose sum is σ = 24500931840. Its totient is φ = 962150400.

The previous prime is 5004568799. The next prime is 5004568843. The reversal of 5004568800 is 88654005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84823171 + ... + 84823229.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 2^5004568800 is an apocalyptic number.

5004568800 is a gapful number since it is divisible by the number (50) 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 5004568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250465920).

5004568800 is an abundant number, since it is smaller than the sum of its proper divisors (19496363040).

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

5004568800 is a wasteful number, since it uses less digits than its factorization.

5004568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5004568800 is about 70742.9770365935. The cubic root of 5004568800 is about 1710.4966239912.

The spelling of 5004568800 in words is "five billion, four million, five hundred sixty-eight thousand, eight hundred".