616710879712928 has 1152 divisors, whose sum is σ = 1792313242030080. Its totient is φ = 204652684615680.

The previous prime is 616710879712927. The next prime is 616710879712943. The reversal of 616710879712928 is 829217978017616.

It is not an unprimeable number, because it can be changed into a prime (616710879712927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67231095350 + ... + 67231104522.

It is an arithmetic number, because the mean of its divisors is an integer number (1555827467040).

Almost surely, 2^{616710879712928} 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 616710879712928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896156621015040).

616710879712928 is an abundant number, since it is smaller than the sum of its proper divisors (1175602362317152).

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

616710879712928 is a wasteful number, since it uses less digits than its factorization.

616710879712928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 74.

The spelling of 616710879712928 in words is "six hundred sixteen trillion, seven hundred ten billion, eight hundred seventy-nine million, seven hundred twelve thousand, nine hundred twenty-eight".