6457706268757 has 16 divisors (see below), whose sum is σ = 7007494824000. Its totient is φ = 5931749522304.

The previous prime is 6457706268743. The next prime is 6457706268809. The reversal of 6457706268757 is 7578626077546.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6457706268757 is a prime.

It is a super-2 number, since 2×6457706268757² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6457706262757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39374782 + ... + 39538447.

It is an arithmetic number, because the mean of its divisors is an integer number (437968426500).

Almost surely, 2^{6457706268757} is an apocalyptic number.

It is an amenable number.

6457706268757 is a deficient number, since it is larger than the sum of its proper divisors (549788555243).

6457706268757 is a wasteful number, since it uses less digits than its factorization.

6457706268757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78913380.

The product of its (nonzero) digits is 829785600, while the sum is 70.

The spelling of 6457706268757 in words is "six trillion, four hundred fifty-seven billion, seven hundred six million, two hundred sixty-eight thousand, seven hundred fifty-seven".