756940049657 has 4 divisors (see below), whose sum is σ = 825752781456. Its totient is φ = 688127317860.

The previous prime is 756940049647. The next prime is 756940049681.

756940049657 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 756940049657 - 2¹⁴ = 756940033273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 756940049657.

It is not an unprimeable number, because it can be changed into a prime (756940049647) 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 3 ways as a sum of consecutive naturals, for example, 34406365883 + ... + 34406365904.

It is an arithmetic number, because the mean of its divisors is an integer number (206438195364).

Almost surely, 2^756940049657 is an apocalyptic number.

It is an amenable number.

756940049657 is a deficient number, since it is larger than the sum of its proper divisors (68812731799).

756940049657 is a wasteful number, since it uses less digits than its factorization.

756940049657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68812731798.

The product of its (nonzero) digits is 57153600, while the sum is 62.

The spelling of 756940049657 in words is "seven hundred fifty-six billion, nine hundred forty million, forty-nine thousand, six hundred fifty-seven".