680116000000 has 126 divisors (see below), whose sum is σ = 1696957380230. Its totient is φ = 272044800000.

The previous prime is 680115999973. The next prime is 680116000007. The reversal of 680116000000 is 611086.

It can be written as a sum of positive squares in 7 ways, for example, as 575316182016 + 104799817984 = 758496^2 + 323728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680116000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3914986 + ... + 4085014.

Almost surely, 2^680116000000 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 680116000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848478690115).

680116000000 is an abundant number, since it is smaller than the sum of its proper divisors (1016841380230).

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

680116000000 is an frugal number, since it uses more digits than its factorization.

680116000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170075 (or 170036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 680116000000 its reverse (611086), we get a palindrome (680116611086).

The spelling of 680116000000 in words is "six hundred eighty billion, one hundred sixteen million", and thus it is an aban number.