756412214657 has 12 divisors (see below), whose sum is σ = 831450619860. Its totient is φ = 687629009760.

The previous prime is 756412214603. The next prime is 756412214791.

It is a happy number.

756412214657 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 317553663361 + 438858551296 = 563519^2 + 662464^2 .

It is not a de Polignac number, because 756412214657 - 2²⁰ = 756411166081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (756412211657) 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 in 11 ways as a sum of consecutive naturals, for example, 6699323 + ... + 6811295.

It is an arithmetic number, because the mean of its divisors is an integer number (69287551655).

Almost surely, 2^756412214657 is an apocalyptic number.

It is an amenable number.

756412214657 is a deficient number, since it is larger than the sum of its proper divisors (75038405203).

756412214657 is a wasteful number, since it uses less digits than its factorization.

756412214657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167824 (or 167813 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 50.

It can be divided in two parts, 7564 and 12214657, that added together give a palindrome (12222221).

The spelling of 756412214657 in words is "seven hundred fifty-six billion, four hundred twelve million, two hundred fourteen thousand, six hundred fifty-seven".