617516164608 has 320 divisors, whose sum is σ = 1983974446080. Its totient is φ = 166860029952.

The previous prime is 617516164549. The next prime is 617516164637. The reversal of 617516164608 is 806461615716.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21995316 + ... + 22023372.

It is an arithmetic number, because the mean of its divisors is an integer number (6199920144).

Almost surely, 2^617516164608 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 617516164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991987223040).

617516164608 is an abundant number, since it is smaller than the sum of its proper divisors (1366458281472).

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

617516164608 is a wasteful number, since it uses less digits than its factorization.

617516164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28197 (or 28181 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 617516164608 in words is "six hundred seventeen billion, five hundred sixteen million, one hundred sixty-four thousand, six hundred eight".