27436542336 has 384 divisors, whose sum is σ = 95442297600. Its totient is φ = 7390310400.

The previous prime is 27436542323. The next prime is 27436542347. The reversal of 27436542336 is 63324563472.

27436542336 is a `hidden beast` number, since 2 + 74 + 3 + 6 + 542 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 27436542291 and 27436542300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50714226 + ... + 50714766.

It is an arithmetic number, because the mean of its divisors is an integer number (248547650).

Almost surely, 2^27436542336 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 27436542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47721148800).

27436542336 is an abundant number, since it is smaller than the sum of its proper divisors (68005755264).

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

27436542336 is a wasteful number, since it uses less digits than its factorization.

27436542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The spelling of 27436542336 in words is "twenty-seven billion, four hundred thirty-six million, five hundred forty-two thousand, three hundred thirty-six".