5600564400 has 240 divisors, whose sum is σ = 18875577600. Its totient is φ = 1416729600.

The previous prime is 5600564383. The next prime is 5600564441. The reversal of 5600564400 is 44650065.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3614826 + ... + 3616374.

It is an arithmetic number, because the mean of its divisors is an integer number (78648240).

Almost surely, 2^5600564400 is an apocalyptic number.

5600564400 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 5600564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437788800).

5600564400 is an abundant number, since it is smaller than the sum of its proper divisors (13275013200).

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

5600564400 is a wasteful number, since it uses less digits than its factorization.

5600564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5600564400 is about 74836.9186965899. The cubic root of 5600564400 is about 1775.8676601738.

The spelling of 5600564400 in words is "five billion, six hundred million, five hundred sixty-four thousand, four hundred".