6705600757993 has 2 divisors, whose sum is σ = 6705600757994. Its totient is φ = 6705600757992.

The previous prime is 6705600757931. The next prime is 6705600758033. The reversal of 6705600757993 is 3997570065076.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5122400145984 + 1583200612009 = 2263272^2 + 1258253^2 .

It is a cyclic number.

It is not a de Polignac number, because 6705600757993 - 2³³ = 6697010823401 is a prime.

It is not a weakly prime, because it can be changed into another prime (6705600757913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3352800378996 + 3352800378997.

It is an arithmetic number, because the mean of its divisors is an integer number (3352800378997).

Almost surely, 2^{6705600757993} is an apocalyptic number.

It is an amenable number.

6705600757993 is a deficient number, since it is larger than the sum of its proper divisors (1).

6705600757993 is an equidigital number, since it uses as much as digits as its factorization.

6705600757993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75014100, while the sum is 64.

The spelling of 6705600757993 in words is "six trillion, seven hundred five billion, six hundred million, seven hundred fifty-seven thousand, nine hundred ninety-three".