27682428672 has 144 divisors (see below), whose sum is σ = 82223988000. Its totient is φ = 9186656256.

The previous prime is 27682428643. The next prime is 27682428797.

27682428672 is a `hidden beast` number, since 2 + 76 + 82 + 428 + 6 + 72 = 666.

27682428672 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1574104 + ... + 1591592.

Almost surely, 2^27682428672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27682428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41111994000).

27682428672 is an abundant number, since it is smaller than the sum of its proper divisors (54541559328).

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

27682428672 is a wasteful number, since it uses less digits than its factorization.

27682428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17743 (or 17723 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 27682428672 in words is "twenty-seven billion, six hundred eighty-two million, four hundred twenty-eight thousand, six hundred seventy-two".