616655556560 has 80 divisors (see below), whose sum is σ = 1453077546192. Its totient is φ = 243350016000.

The previous prime is 616655556551. The next prime is 616655556593. The reversal of 616655556560 is 65655556616.

It can be written as a sum of positive squares in 8 ways, for example, as 3372357184 + 613283199376 = 58072^2 + 783124^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 616655556496 and 616655556505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134682 + ... + 2406278.

Almost surely, 2^616655556560 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 616655556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726538773096).

616655556560 is an abundant number, since it is smaller than the sum of its proper divisors (836421989632).

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

616655556560 is a wasteful number, since it uses less digits than its factorization.

616655556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271992 (or 271986 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 56.

Adding to 616655556560 its sum of digits (56), we get a palindrome (616655556616).

The spelling of 616655556560 in words is "six hundred sixteen billion, six hundred fifty-five million, five hundred fifty-six thousand, five hundred sixty".