5600645406720 has 3584 divisors, whose sum is σ = 26950952448000. Its totient is φ = 1070176665600.

The previous prime is 5600645406661. The next prime is 5600645406737. The reversal of 5600645406720 is 276045460065.

5600645406720 is a `hidden beast` number, since 560 + 0 + 6 + 4 + 5 + 4 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-3 number, since 3×5600645406720³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55451934670 + ... + 55451934770.

It is an arithmetic number, because the mean of its divisors is an integer number (7519797000).

Almost surely, 2^{5600645406720} 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 5600645406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475476224000).

5600645406720 is an abundant number, since it is smaller than the sum of its proper divisors (21350307041280).

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

5600645406720 is a wasteful number, since it uses less digits than its factorization.

5600645406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5600645406720 in words is "five trillion, six hundred billion, six hundred forty-five million, four hundred six thousand, seven hundred twenty".