616577775616 has 144 divisors (see below), whose sum is σ = 1359395888760. Its totient is φ = 279378739200.

The previous prime is 616577775613. The next prime is 616577775643.

It is a happy number.

616577775616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616577775613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82020690 + ... + 82028206.

Almost surely, 2^616577775616 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 616577775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679697944380).

616577775616 is an abundant number, since it is smaller than the sum of its proper divisors (742818113144).

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

616577775616 is a wasteful number, since it uses less digits than its factorization.

616577775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7861 counting only the distinct ones).

The product of its digits is 77792400, while the sum is 64.

The spelling of 616577775616 in words is "six hundred sixteen billion, five hundred seventy-seven million, seven hundred seventy-five thousand, six hundred sixteen".