5642209805568 has 288 divisors, whose sum is σ = 17228663424000. Its totient is φ = 1605785223168.

The previous prime is 5642209805539. The next prime is 5642209805569. The reversal of 5642209805568 is 8655089022465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642209805569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1783814355 + ... + 1783817517.

It is an arithmetic number, because the mean of its divisors is an integer number (59821748000).

Almost surely, 2^{5642209805568} 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 5642209805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614331712000).

5642209805568 is an abundant number, since it is smaller than the sum of its proper divisors (11586453618432).

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

5642209805568 is a wasteful number, since it uses less digits than its factorization.

5642209805568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 5642209805568 in words is "five trillion, six hundred forty-two billion, two hundred nine million, eight hundred five thousand, five hundred sixty-eight".