616634436616 has 64 divisors (see below), whose sum is σ = 1282321497600. Its totient is φ = 275618918400.

The previous prime is 616634436577. The next prime is 616634436619.

616634436616 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (616634436619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23009961 + ... + 23036743.

It is an arithmetic number, because the mean of its divisors is an integer number (20036273400).

Almost surely, 2^616634436616 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 616634436616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641160748800).

616634436616 is an abundant number, since it is smaller than the sum of its proper divisors (665687060984).

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

616634436616 is a wasteful number, since it uses less digits than its factorization.

616634436616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31150 (or 31146 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 52.

The spelling of 616634436616 in words is "six hundred sixteen billion, six hundred thirty-four million, four hundred thirty-six thousand, six hundred sixteen".