27776849967 has 96 divisors (see below), whose sum is σ = 45931737600. Its totient is φ = 16530801408.

The previous prime is 27776849963. The next prime is 27776849993. The reversal of 27776849967 is 76994867772.

27776849967 is a `hidden beast` number, since 2 + 7 + 7 + 76 + 8 + 499 + 67 = 666.

It is not a de Polignac number, because 27776849967 - 2² = 27776849963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27776849895 and 27776849904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27776849963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33750318 + ... + 33751140.

It is an arithmetic number, because the mean of its divisors is an integer number (478455600).

Almost surely, 2^27776849967 is an apocalyptic number.

27776849967 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

27776849967 is a deficient number, since it is larger than the sum of its proper divisors (18154887633).

27776849967 is a wasteful number, since it uses less digits than its factorization.

27776849967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1005 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 27776849967 in words is "twenty-seven billion, seven hundred seventy-six million, eight hundred forty-nine thousand, nine hundred sixty-seven".