1680711677 has 2 divisors, whose sum is σ = 1680711678. Its totient is φ = 1680711676.

The previous prime is 1680711661. The next prime is 1680711679. The reversal of 1680711677 is 7761170861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1653316921 + 27394756 = 40661^2 + 5234^2 .

It is a cyclic number.

It is not a de Polignac number, because 1680711677 - 2⁴ = 1680711661 is a prime.

Together with 1680711679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1680711679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840355838 + 840355839.

It is an arithmetic number, because the mean of its divisors is an integer number (840355839).

Almost surely, 2^1680711677 is an apocalyptic number.

It is an amenable number.

1680711677 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680711677 is an equidigital number, since it uses as much as digits as its factorization.

1680711677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98784, while the sum is 44.

The square root of 1680711677 is about 40996.4837150700. The cubic root of 1680711677 is about 1188.9522300511.

The spelling of 1680711677 in words is "one billion, six hundred eighty million, seven hundred eleven thousand, six hundred seventy-seven".