8427256761 has 16 divisors (see below), whose sum is σ = 14008946688. Its totient is φ = 4377795600.

The previous prime is 8427256757. The next prime is 8427256771. The reversal of 8427256761 is 1676527248.

It is not a de Polignac number, because 8427256761 - 2² = 8427256757 is a prime.

It is a super-2 number, since 2×8427256761² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8427256761.

It is not an unprimeable number, because it can be changed into a prime (8427256771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18240585 + ... + 18241046.

It is an arithmetic number, because the mean of its divisors is an integer number (875559168).

Almost surely, 2^8427256761 is an apocalyptic number.

It is an amenable number.

8427256761 is a deficient number, since it is larger than the sum of its proper divisors (5581689927).

8427256761 is a wasteful number, since it uses less digits than its factorization.

8427256761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36481652.

The product of its digits is 1128960, while the sum is 48.

The square root of 8427256761 is about 91800.0912908043. The cubic root of 8427256761 is about 2034.9890439236.

The spelling of 8427256761 in words is "eight billion, four hundred twenty-seven million, two hundred fifty-six thousand, seven hundred sixty-one".