4127684705 has 16 divisors (see below), whose sum is σ = 4984194384. Its totient is φ = 3281556480.

The previous prime is 4127684669. The next prime is 4127684741. The reversal of 4127684705 is 5074867214.

4127684705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4127684669) and next prime (4127684741).

It can be written as a sum of positive squares in 8 ways, for example, as 1334879296 + 2792805409 = 36536^2 + 52847^2 .

It is not a de Polignac number, because 4127684705 - 2⁶ = 4127684641 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645725 + ... + 652085.

It is an arithmetic number, because the mean of its divisors is an integer number (311512149).

Almost surely, 2^4127684705 is an apocalyptic number.

It is an amenable number.

4127684705 is a deficient number, since it is larger than the sum of its proper divisors (856509679).

4127684705 is a wasteful number, since it uses less digits than its factorization.

4127684705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156.

The product of its (nonzero) digits is 376320, while the sum is 44.

The square root of 4127684705 is about 64247.0598938193. The cubic root of 4127684705 is about 1604.1150201877.

The spelling of 4127684705 in words is "four billion, one hundred twenty-seven million, six hundred eighty-four thousand, seven hundred five".