680715778800 has 240 divisors, whose sum is σ = 2192553605088. Its totient is φ = 180527923200.

The previous prime is 680715778763. The next prime is 680715778817. The reversal of 680715778800 is 8877517086.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345014614 + ... + 345016586.

Almost surely, 2^680715778800 is an apocalyptic number.

680715778800 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 680715778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096276802544).

680715778800 is an abundant number, since it is smaller than the sum of its proper divisors (1511837826288).

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

680715778800 is a wasteful number, since it uses less digits than its factorization.

680715778800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 57.

The spelling of 680715778800 in words is "six hundred eighty billion, seven hundred fifteen million, seven hundred seventy-eight thousand, eight hundred".