5004644400 has 600 divisors, whose sum is σ = 20888065360. Its totient is φ = 1137991680.

The previous prime is 5004644369. The next prime is 5004644417. The reversal of 5004644400 is 44464005.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25930704 + ... + 25930896.

Almost surely, 2^5004644400 is an apocalyptic number.

5004644400 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 5004644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444032680).

5004644400 is an abundant number, since it is smaller than the sum of its proper divisors (15883420960).

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

5004644400 is a wasteful number, since it uses less digits than its factorization.

5004644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5004644400 is about 70743.5113632339. The cubic root of 5004644400 is about 1710.5052369806.

The spelling of 5004644400 in words is "five billion, four million, six hundred forty-four thousand, four hundred".