27636882966 has 320 divisors, whose sum is σ = 83325749760. Its totient is φ = 6625981440.

The previous prime is 27636882947. The next prime is 27636883003. The reversal of 27636882966 is 66928863672.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11237845 + ... + 11240303.

It is an arithmetic number, because the mean of its divisors is an integer number (260392968).

Almost surely, 2^27636882966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27636882966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41662874880).

27636882966 is an abundant number, since it is smaller than the sum of its proper divisors (55688866794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27636882966 is a wasteful number, since it uses less digits than its factorization.

27636882966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2552 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 27636882966 in words is "twenty-seven billion, six hundred thirty-six million, eight hundred eighty-two thousand, nine hundred sixty-six".