27682459776 has 128 divisors (see below), whose sum is σ = 83041708800. Its totient is φ = 9076147200.

The previous prime is 27682459741. The next prime is 27682459799. The reversal of 27682459776 is 67795428672.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145161 + ... + 276471.

It is an arithmetic number, because the mean of its divisors is an integer number (648763350).

Almost surely, 2^27682459776 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 27682459776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41520854400).

27682459776 is an abundant number, since it is smaller than the sum of its proper divisors (55359249024).

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

27682459776 is a wasteful number, since it uses less digits than its factorization.

27682459776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131395 (or 131377 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 27682459776 in words is "twenty-seven billion, six hundred eighty-two million, four hundred fifty-nine thousand, seven hundred seventy-six".