10457727767 has 16 divisors (see below), whose sum is σ = 11157641472. Its totient is φ = 9783970560.

The previous prime is 10457727739. The next prime is 10457727793. The reversal of 10457727767 is 76772775401.

10457727767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10457727767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457777767) 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 in 15 ways as a sum of consecutive naturals, for example, 151043 + ... + 209115.

It is an arithmetic number, because the mean of its divisors is an integer number (697352592).

Almost surely, 2^10457727767 is an apocalyptic number.

10457727767 is a deficient number, since it is larger than the sum of its proper divisors (699913705).

10457727767 is a wasteful number, since it uses less digits than its factorization.

10457727767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58298.

The product of its (nonzero) digits is 4033680, while the sum is 53.

The spelling of 10457727767 in words is "ten billion, four hundred fifty-seven million, seven hundred twenty-seven thousand, seven hundred sixty-seven".