680306721600 has 504 divisors, whose sum is σ = 2495033120160. Its totient is φ = 162119372800.

The previous prime is 680306721571. The next prime is 680306721643. The reversal of 680306721600 is 6127603086.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 34257274 + ... + 34277126.

It is an arithmetic number, because the mean of its divisors is an integer number (4950462540).

Almost surely, 2^680306721600 is an apocalyptic number.

680306721600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680306721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247516560080).

680306721600 is an abundant number, since it is smaller than the sum of its proper divisors (1814726398560).

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

680306721600 is a wasteful number, since it uses less digits than its factorization.

680306721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959 (or 19933 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 680306721600 in words is "six hundred eighty billion, three hundred six million, seven hundred twenty-one thousand, six hundred".