27682564160 has 56 divisors (see below), whose sum is σ = 65947646616. Its totient is φ = 11068231680.

The previous prime is 27682564087. The next prime is 27682564187. The reversal of 27682564160 is 6146528672.

It can be written as a sum of positive squares in 4 ways, for example, as 5948728384 + 21733835776 = 77128^2 + 147424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773870 + ... + 808850.

Almost surely, 2^27682564160 is an apocalyptic number.

27682564160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27682564160 is an abundant number, since it is smaller than the sum of its proper divisors (38265082456).

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

27682564160 is a wasteful number, since it uses less digits than its factorization.

27682564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37471 (or 37461 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 27682564160 in words is "twenty-seven billion, six hundred eighty-two million, five hundred sixty-four thousand, one hundred sixty".