756540045657 has 32 divisors (see below), whose sum is σ = 1255736703360. Its totient is φ = 446116973760.

The previous prime is 756540045643. The next prime is 756540045673.

It is a happy number.

756540045657 is a `hidden beast` number, since 7 + 5 + 6 + 540 + 0 + 45 + 6 + 57 = 666.

756540045657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 756540045657 - 2¹⁶ = 756539980121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (756540045697) 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 31 ways as a sum of consecutive naturals, for example, 34411618 + ... + 34433595.

It is an arithmetic number, because the mean of its divisors is an integer number (39241771980).

Almost surely, 2^756540045657 is an apocalyptic number.

It is an amenable number.

756540045657 is a deficient number, since it is larger than the sum of its proper divisors (499196657703).

756540045657 is a wasteful number, since it uses less digits than its factorization.

756540045657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68845270 (or 68845264 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 756540045657 in words is "seven hundred fifty-six billion, five hundred forty million, forty-five thousand, six hundred fifty-seven".