680814516600 has 288 divisors, whose sum is σ = 2362629734400. Its totient is φ = 175510022400.

The previous prime is 680814516559. The next prime is 680814516607. The reversal of 680814516600 is 6615418086.

680814516600 is a `hidden beast` number, since 68 + 0 + 8 + 14 + 516 + 60 + 0 = 666.

680814516600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680814516607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57970329 + ... + 57982071.

Almost surely, 2^680814516600 is an apocalyptic number.

680814516600 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 680814516600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181314867200).

680814516600 is an abundant number, since it is smaller than the sum of its proper divisors (1681815217800).

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

680814516600 is a wasteful number, since it uses less digits than its factorization.

680814516600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 680814516600 in words is "six hundred eighty billion, eight hundred fourteen million, five hundred sixteen thousand, six hundred".