5600544768 has 720 divisors, whose sum is σ = 21351870540. Its totient is φ = 1449197568.

The previous prime is 5600544739. The next prime is 5600544791. The reversal of 5600544768 is 8674450065.

It can be written as a sum of positive squares in 2 ways, for example, as 5563966464 + 36578304 = 74592^2 + 6048^2 .

It is a super-2 number, since 2×5600544768² = 62732203396744347648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105670630 + ... + 105670682.

Almost surely, 2^5600544768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10675935270).

5600544768 is an abundant number, since it is smaller than the sum of its proper divisors (15751325772).

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

5600544768 is a wasteful number, since it uses less digits than its factorization.

5600544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5600544768 is about 74836.7875312670. The cubic root of 5600544768 is about 1775.8655851523.

The spelling of 5600544768 in words is "five billion, six hundred million, five hundred forty-four thousand, seven hundred sixty-eight".