6671785761 has 27 divisors (see below), whose sum is σ = 10178033619. Its totient is φ = 4210818912.

The previous prime is 6671785751. The next prime is 6671785777. The reversal of 6671785761 is 1675871766.

The square root of 6671785761 is 81681.

It is a perfect power (a square), and thus also a powerful number.

6671785761 is a `hidden beast` number, since 6 + 67 + 1 + 7 + 8 + 576 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5533128225 + 1138657536 = 74385^2 + 33744^2 .

It is not a de Polignac number, because 6671785761 - 2⁷ = 6671785633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6671785698 and 6671785707.

It is not an unprimeable number, because it can be changed into a prime (6671785751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4655101 + ... + 4656533.

Almost surely, 2^6671785761 is an apocalyptic number.

6671785761 is the 81681-st square number.

6671785761 is the 40841-st centered octagonal number.

It is an amenable number.

6671785761 is a deficient number, since it is larger than the sum of its proper divisors (3506247858).

6671785761 is an equidigital number, since it uses as much as digits as its factorization.

6671785761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 1455 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The cubic root of 6671785761 is about 1882.5536597351.

The spelling of 6671785761 in words is "six billion, six hundred seventy-one million, seven hundred eighty-five thousand, seven hundred sixty-one".