6541705683711 has 64 divisors (see below), whose sum is σ = 11169724262400. Its totient is φ = 3746511216000.

The previous prime is 6541705683697. The next prime is 6541705683719. The reversal of 6541705683711 is 1173865071456.

6541705683711 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 7 + 0 + 568 + 3 + 71 + 1 = 666.

It is not a de Polignac number, because 6541705683711 - 2⁶ = 6541705683647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541705683719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7675140 + ... + 8484761.

It is an arithmetic number, because the mean of its divisors is an integer number (174526941600).

Almost surely, 2^{6541705683711} is an apocalyptic number.

6541705683711 is a deficient number, since it is larger than the sum of its proper divisors (4628018578689).

6541705683711 is a wasteful number, since it uses less digits than its factorization.

6541705683711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16159997 (or 16159991 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 6541705683711 in words is "six trillion, five hundred forty-one billion, seven hundred five million, six hundred eighty-three thousand, seven hundred eleven".