756610374265349 has 2 divisors, whose sum is σ = 756610374265350. Its totient is φ = 756610374265348.

The previous prime is 756610374265283. The next prime is 756610374265381. The reversal of 756610374265349 is 943562473016657.

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., 515422485714724 + 241187888550625 = 22702918^2 + 15530225^2 .

It is a cyclic number.

It is not a de Polignac number, because 756610374265349 - 2⁴⁴ = 739018188220933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (756610374265549) 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, 378305187132674 + 378305187132675.

It is an arithmetic number, because the mean of its divisors is an integer number (378305187132675).

Almost surely, 2^{756610374265349} is an apocalyptic number.

It is an amenable number.

756610374265349 is a deficient number, since it is larger than the sum of its proper divisors (1).

756610374265349 is an equidigital number, since it uses as much as digits as its factorization.

756610374265349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 685843200, while the sum is 68.

The spelling of 756610374265349 in words is "seven hundred fifty-six trillion, six hundred ten billion, three hundred seventy-four million, two hundred sixty-five thousand, three hundred forty-nine".