5608616266368 has 768 divisors, whose sum is σ = 18011728425600. Its totient is φ = 1731042607104.

The previous prime is 5608616266367. The next prime is 5608616266403. The reversal of 5608616266368 is 8636626168065.

It is a happy number.

5608616266368 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 6 + 1 + 6 + 266 + 368 = 666.

It is a super-2 number, since 2×5608616266368² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5608616266367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10069328746 + ... + 10069329302.

Almost surely, 2^{5608616266368} 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 5608616266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005864212800).

5608616266368 is an abundant number, since it is smaller than the sum of its proper divisors (12403112159232).

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

5608616266368 is a wasteful number, since it uses less digits than its factorization.

5608616266368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 5608616266368 in words is "five trillion, six hundred eight billion, six hundred sixteen million, two hundred sixty-six thousand, three hundred sixty-eight".