27661705461 has 12 divisors (see below), whose sum is σ = 43029319788. Its totient is φ = 17022587904.

The previous prime is 27661705429. The next prime is 27661705469. The reversal of 27661705461 is 16450716672.

27661705461 is a `hidden beast` number, since 27 + 6 + 617 + 0 + 5 + 4 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3397724100 + 24263981361 = 58290^2 + 155769^2 .

It is not a de Polignac number, because 27661705461 - 2⁵ = 27661705429 is a prime.

It is a super-2 number, since 2×27661705461² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661705469) 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, 118212300 + ... + 118212533.

It is an arithmetic number, because the mean of its divisors is an integer number (3585776649).

Almost surely, 2^27661705461 is an apocalyptic number.

It is an amenable number.

27661705461 is a deficient number, since it is larger than the sum of its proper divisors (15367614327).

27661705461 is a wasteful number, since it uses less digits than its factorization.

27661705461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236424852 (or 236424849 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27661705461 in words is "twenty-seven billion, six hundred sixty-one million, seven hundred five thousand, four hundred sixty-one".