5600575680 has 224 divisors, whose sum is σ = 20450763264. Its totient is φ = 1272029184.

The previous prime is 5600575577. The next prime is 5600575691. The reversal of 5600575680 is 865750065.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1092804 + ... + 1097916.

Almost surely, 2^5600575680 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 5600575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225381632).

5600575680 is an abundant number, since it is smaller than the sum of its proper divisors (14850187584).

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

5600575680 is a wasteful number, since it uses less digits than its factorization.

5600575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 5600575680 is about 74836.9940604244. The cubic root of 5600575680 is about 1775.8688524211.

The spelling of 5600575680 in words is "five billion, six hundred million, five hundred seventy-five thousand, six hundred eighty".