27344065536 has 220 divisors, whose sum is σ = 85957296480. Its totient is φ = 8634470400.

The previous prime is 27344065523. The next prime is 27344065571. The reversal of 27344065536 is 63556044372.

27344065536 is a `hidden beast` number, since 2 + 73 + 4 + 40 + 6 + 5 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27344065491 and 27344065500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1567261 + ... + 1584611.

It is an arithmetic number, because the mean of its divisors is an integer number (390714984).

Almost surely, 2^27344065536 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 27344065536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42978648240).

27344065536 is an abundant number, since it is smaller than the sum of its proper divisors (58613230944).

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

27344065536 is a wasteful number, since it uses less digits than its factorization.

27344065536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17402 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 27344065536 in words is "twenty-seven billion, three hundred forty-four million, sixty-five thousand, five hundred thirty-six".