6807673656 has 192 divisors, whose sum is σ = 22259128320. Its totient is φ = 1838350080.

The previous prime is 6807673651. The next prime is 6807673667. The reversal of 6807673656 is 6563767086.

It is a super-4 number, since 4×6807673656⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6807673651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666766 + ... + 676898.

It is an arithmetic number, because the mean of its divisors is an integer number (115932960).

Almost surely, 2^6807673656 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 6807673656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11129564160).

6807673656 is an abundant number, since it is smaller than the sum of its proper divisors (15451454664).

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

6807673656 is a wasteful number, since it uses less digits than its factorization.

6807673656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10219 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 6807673656 is about 82508.6277670402. The cubic root of 6807673656 is about 1895.2488545676.

The spelling of 6807673656 in words is "six billion, eight hundred seven million, six hundred seventy-three thousand, six hundred fifty-six".