27679242241 has 32 divisors (see below), whose sum is σ = 33326899200. Its totient is φ = 22486228800.

The previous prime is 27679242233. The next prime is 27679242289. The reversal of 27679242241 is 14224297672.

It is not a de Polignac number, because 27679242241 - 2³ = 27679242233 is a prime.

It is a super-2 number, since 2×27679242241² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27679242191 and 27679242200.

It is not an unprimeable number, because it can be changed into a prime (27679242841) 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 31 ways as a sum of consecutive naturals, for example, 11772216 + ... + 11774566.

It is an arithmetic number, because the mean of its divisors is an integer number (1041465600).

Almost surely, 2^27679242241 is an apocalyptic number.

It is an amenable number.

27679242241 is a deficient number, since it is larger than the sum of its proper divisors (5647656959).

27679242241 is a wasteful number, since it uses less digits than its factorization.

27679242241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429.

The product of its digits is 677376, while the sum is 46.

The spelling of 27679242241 in words is "twenty-seven billion, six hundred seventy-nine million, two hundred forty-two thousand, two hundred forty-one".