680684092200 has 288 divisors, whose sum is σ = 2613406124160. Its totient is φ = 155532787200.

The previous prime is 680684092171. The next prime is 680684092217. The reversal of 680684092200 is 2290486086.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47457030 + ... + 47471370.

It is an arithmetic number, because the mean of its divisors is an integer number (9074326820).

Almost surely, 2^680684092200 is an apocalyptic number.

680684092200 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 680684092200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306703062080).

680684092200 is an abundant number, since it is smaller than the sum of its proper divisors (1932722031960).

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

680684092200 is a wasteful number, since it uses less digits than its factorization.

680684092200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137 (or 18125 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 680684092200 in words is "six hundred eighty billion, six hundred eighty-four million, ninety-two thousand, two hundred".