6671785760 has 48 divisors (see below), whose sum is σ = 15777918072. Its totient is φ = 2666035200.

The previous prime is 6671785751. The next prime is 6671785777. The reversal of 6671785760 is 675871766.

It is a Cunningham number, because it is equal to 81681²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 6472524304 + 199261456 = 80452^2 + 14116^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 142940 + ... + 183780.

Almost surely, 2^6671785760 is an apocalyptic number.

It is an amenable number.

6671785760 is an abundant number, since it is smaller than the sum of its proper divisors (9106132312).

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

6671785760 is a wasteful number, since it uses less digits than its factorization.

6671785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41877 (or 41869 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The square root of 6671785760 is about 81680.9999938786. Note that the first 5 decimals coincide. The cubic root of 6671785760 is about 1882.5536596410.

The spelling of 6671785760 in words is "six billion, six hundred seventy-one million, seven hundred eighty-five thousand, seven hundred sixty".