5602711680 has 640 divisors, whose sum is σ = 21611335680. Its totient is φ = 1379524608.

The previous prime is 5602711651. The next prime is 5602711727. The reversal of 5602711680 is 861172065.

5602711680 is a `hidden beast` number, since 560 + 2 + 7 + 1 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44115777 + ... + 44115903.

It is an arithmetic number, because the mean of its divisors is an integer number (33767712).

Almost surely, 2^5602711680 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 5602711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805667840).

5602711680 is an abundant number, since it is smaller than the sum of its proper divisors (16008624000).

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

5602711680 is a wasteful number, since it uses less digits than its factorization.

5602711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5602711680 is about 74851.2637167870. The cubic root of 5602711680 is about 1776.0945895567.

The spelling of 5602711680 in words is "five billion, six hundred two million, seven hundred eleven thousand, six hundred eighty".