756857738657 has 2 divisors, whose sum is σ = 756857738658. Its totient is φ = 756857738656.

The previous prime is 756857738629. The next prime is 756857738731. The reversal of 756857738657 is 756837758657.

It is an a-pointer prime, because the next prime (756857738731) can be obtained adding 756857738657 to its sum of digits (74).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 744706865296 + 12150873361 = 862964^2 + 110231^2 .

It is a cyclic number.

It is not a de Polignac number, because 756857738657 - 2⁸ = 756857738401 is a prime.

It is not a weakly prime, because it can be changed into another prime (756857731657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 378428869328 + 378428869329.

It is an arithmetic number, because the mean of its divisors is an integer number (378428869329).

Almost surely, 2^756857738657 is an apocalyptic number.

It is an amenable number.

756857738657 is a deficient number, since it is larger than the sum of its proper divisors (1).

756857738657 is an equidigital number, since it uses as much as digits as its factorization.

756857738657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2074464000, while the sum is 74.

The spelling of 756857738657 in words is "seven hundred fifty-six billion, eight hundred fifty-seven million, seven hundred thirty-eight thousand, six hundred fifty-seven".