27842681376 has 72 divisors (see below), whose sum is σ = 79579704204. Its totient is φ = 9233763840.

The previous prime is 27842681357. The next prime is 27842681429. The reversal of 27842681376 is 67318624872.

27842681376 is a `hidden beast` number, since 2 + 7 + 8 + 4 + 268 + 1 + 376 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20470741776 + 7371939600 = 143076^2 + 85860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188635 + ... + 302106.

Almost surely, 2^27842681376 is an apocalyptic number.

It is an amenable number.

27842681376 is an abundant number, since it is smaller than the sum of its proper divisors (51737022828).

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

27842681376 is a wasteful number, since it uses less digits than its factorization.

27842681376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490954 (or 490943 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 27842681376 in words is "twenty-seven billion, eight hundred forty-two million, six hundred eighty-one thousand, three hundred seventy-six".