6810585413840 has 40 divisors (see below), whose sum is σ = 17052658096488. Its totient is φ = 2514677690880.

The previous prime is 6810585413791. The next prime is 6810585413881. The reversal of 6810585413840 is 483145850186.

It can be written as a sum of positive squares in 4 ways, for example, as 1178336302144 + 5632249111696 = 1085512^2 + 2373236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×6810585413840³ (a number of 39 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3274318871 + ... + 3274320950.

Almost surely, 2^{6810585413840} is an apocalyptic number.

It is an amenable number.

6810585413840 is an abundant number, since it is smaller than the sum of its proper divisors (10242072682648).

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

6810585413840 is a wasteful number, since it uses less digits than its factorization.

6810585413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548639847 (or 6548639841 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The spelling of 6810585413840 in words is "six trillion, eight hundred ten billion, five hundred eighty-five million, four hundred thirteen thousand, eight hundred forty".