680604418800 has 540 divisors, whose sum is σ = 2518903623600. Its totient is φ = 170138050560.

The previous prime is 680604418757. The next prime is 680604418801. The reversal of 680604418800 is 8814406086.

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 (680604418801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 126058501 + ... + 126063899.

It is an arithmetic number, because the mean of its divisors is an integer number (4664636340).

Almost surely, 2^680604418800 is an apocalyptic number.

680604418800 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 680604418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259451811800).

680604418800 is an abundant number, since it is smaller than the sum of its proper divisors (1838299204800).

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

680604418800 is a wasteful number, since it uses less digits than its factorization.

680604418800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 680604418800 in words is "six hundred eighty billion, six hundred four million, four hundred eighteen thousand, eight hundred".