27725467761 has 12 divisors (see below), whose sum is σ = 41024676420. Its totient is φ = 18032824320.

The previous prime is 27725467751. The next prime is 27725467769. The reversal of 27725467761 is 16776452772.

27725467761 is a `hidden beast` number, since 27 + 7 + 2 + 546 + 7 + 76 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13773369600 + 13952098161 = 117360^2 + 118119^2 .

It is not a de Polignac number, because 27725467761 - 2⁹ = 27725467249 is a prime.

It is a super-3 number, since 3×27725467761³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27725467698 and 27725467707.

It is not an unprimeable number, because it can be changed into a prime (27725467769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37568016 + ... + 37568753.

It is an arithmetic number, because the mean of its divisors is an integer number (3418723035).

Almost surely, 2^27725467761 is an apocalyptic number.

It is an amenable number.

27725467761 is a deficient number, since it is larger than the sum of its proper divisors (13299208659).

27725467761 is a wasteful number, since it uses less digits than its factorization.

27725467761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75136816 (or 75136813 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The spelling of 27725467761 in words is "twenty-seven billion, seven hundred twenty-five million, four hundred sixty-seven thousand, seven hundred sixty-one".