6810680560 has 120 divisors (see below), whose sum is σ = 16621842384. Its totient is φ = 2593704960.

The previous prime is 6810680557. The next prime is 6810680579. The reversal of 6810680560 is 650860186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6064159 + ... + 6065281.

Almost surely, 2^6810680560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6810680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310921192).

6810680560 is an abundant number, since it is smaller than the sum of its proper divisors (9811161824).

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

6810680560 is a wasteful number, since it uses less digits than its factorization.

6810680560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 6810680560 is about 82526.8475103708. The cubic root of 6810680560 is about 1895.5278530826.

The spelling of 6810680560 in words is "six billion, eight hundred ten million, six hundred eighty thousand, five hundred sixty".