680847827259600 has 5400 divisors, whose sum is σ = 3371018778447936. Its totient is φ = 128739207168000.

The previous prime is 680847827259559. The next prime is 680847827259661. The reversal of 680847827259600 is 6952728748086.

680847827259600 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 4 + 7 + 8 + 2 + 7 + 2 + 5 + 9 + 600 = 666.

680847827259600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 338561822595 + ... + 338561824605.

Almost surely, 2^{680847827259600} is an apocalyptic number.

680847827259600 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 680847827259600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685509389223968).

680847827259600 is an abundant number, since it is smaller than the sum of its proper divisors (2690170951188336).

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

680847827259600 is a wasteful number, since it uses less digits than its factorization.

680847827259600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 680847827259600 in words is "six hundred eighty trillion, eight hundred forty-seven billion, eight hundred twenty-seven million, two hundred fifty-nine thousand, six hundred".