27162933336 has 640 divisors, whose sum is σ = 103774556160. Its totient is φ = 6419865600.

The previous prime is 27162933313. The next prime is 27162933341. The reversal of 27162933336 is 63333926172.

27162933336 is a `hidden beast` number, since 27 + 1 + 6 + 293 + 3 + 336 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27162933291 and 27162933300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26294676 + ... + 26295708.

It is an arithmetic number, because the mean of its divisors is an integer number (162147744).

Almost surely, 2^27162933336 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 27162933336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51887278080).

27162933336 is an abundant number, since it is smaller than the sum of its proper divisors (76611622824).

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

27162933336 is a wasteful number, since it uses less digits than its factorization.

27162933336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1104 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The spelling of 27162933336 in words is "twenty-seven billion, one hundred sixty-two million, nine hundred thirty-three thousand, three hundred thirty-six".