27634691761 has 2 divisors, whose sum is σ = 27634691762. Its totient is φ = 27634691760.

The previous prime is 27634691753. The next prime is 27634691767. The reversal of 27634691761 is 16719643672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25673973361 + 1960718400 = 160231^2 + 44280^2 .

It is a cyclic number.

It is not a de Polignac number, because 27634691761 - 2³ = 27634691753 is a prime.

It is a super-2 number, since 2×27634691761² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27634691699 and 27634691708.

It is not a weakly prime, because it can be changed into another prime (27634691767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13817345880 + 13817345881.

It is an arithmetic number, because the mean of its divisors is an integer number (13817345881).

Almost surely, 2^27634691761 is an apocalyptic number.

It is an amenable number.

27634691761 is a deficient number, since it is larger than the sum of its proper divisors (1).

27634691761 is an equidigital number, since it uses as much as digits as its factorization.

27634691761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2286144, while the sum is 52.

The spelling of 27634691761 in words is "twenty-seven billion, six hundred thirty-four million, six hundred ninety-one thousand, seven hundred sixty-one".