5344444800 has 672 divisors, whose sum is σ = 20736396000. Its totient is φ = 1358622720.

The previous prime is 5344444753. The next prime is 5344444801. The reversal of 5344444800 is 84444435.

5344444800 is a `hidden beast` number, since 534 + 4 + 4 + 44 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344444801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 67651161 + ... + 67651239.

Almost surely, 2^5344444800 is an apocalyptic number.

5344444800 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 5344444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368198000).

5344444800 is an abundant number, since it is smaller than the sum of its proper divisors (15391951200).

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

5344444800 is an equidigital number, since it uses as much as digits as its factorization.

5344444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 5344444800 is about 73105.7097633283. The cubic root of 5344444800 is about 1748.3734328457.

The spelling of 5344444800 in words is "five billion, three hundred forty-four million, four hundred forty-four thousand, eight hundred".