6810664227840 has 528 divisors, whose sum is σ = 27258511625280. Its totient is φ = 1553946378240.

The previous prime is 6810664227833. The next prime is 6810664227877. The reversal of 6810664227840 is 487224660186.

It is a happy number.

6810664227840 is a `hidden beast` number, since 6 + 8 + 106 + 6 + 422 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8221771 + ... + 9012149.

Almost surely, 2^{6810664227840} is an apocalyptic number.

6810664227840 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 6810664227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629255812640).

6810664227840 is an abundant number, since it is smaller than the sum of its proper divisors (20447847397440).

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

6810664227840 is a wasteful number, since it uses less digits than its factorization.

6810664227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790438 (or 790417 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 6810664227840 in words is "six trillion, eight hundred ten billion, six hundred sixty-four million, two hundred twenty-seven thousand, eight hundred forty".