680907801000 has 1024 divisors, whose sum is σ = 2626411806720. Its totient is φ = 143518003200.

The previous prime is 680907800971. The next prime is 680907801001. The reversal of 680907801000 is 108709086.

It is a self number, because there is not a number n which added to its sum of digits gives 680907801000.

It is not an unprimeable number, because it can be changed into a prime (680907801001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1715132802 + ... + 1715133198.

It is an arithmetic number, because the mean of its divisors is an integer number (2564855280).

Almost surely, 2^680907801000 is an apocalyptic number.

680907801000 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 680907801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313205903360).

680907801000 is an abundant number, since it is smaller than the sum of its proper divisors (1945504005720).

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

680907801000 is a wasteful number, since it uses less digits than its factorization.

680907801000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 680907801000 in words is "six hundred eighty billion, nine hundred seven million, eight hundred one thousand".