616718366555742 has 256 divisors, whose sum is σ = 1537574530867200. Its totient is φ = 181585805184000.

The previous prime is 616718366555693. The next prime is 616718366555827. The reversal of 616718366555742 is 247555663817616.

616718366555742 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 1 + 8 + 3 + 6 + 65 + 557 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108405405234 + ... + 108405410922.

It is an arithmetic number, because the mean of its divisors is an integer number (6006150511200).

Almost surely, 2^{616718366555742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616718366555742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768787265433600).

616718366555742 is an abundant number, since it is smaller than the sum of its proper divisors (920856164311458).

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

616718366555742 is a wasteful number, since it uses less digits than its factorization.

616718366555742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600 (or 11594 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 616718366555742 in words is "six hundred sixteen trillion, seven hundred eighteen billion, three hundred sixty-six million, five hundred fifty-five thousand, seven hundred forty-two".