27827630208 has 384 divisors, whose sum is σ = 99283242240. Its totient is φ = 7299072000.

The previous prime is 27827630183. The next prime is 27827630263. The reversal of 27827630208 is 80203672872.

27827630208 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 7 + 630 + 2 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5618133 + ... + 5623083.

It is an arithmetic number, because the mean of its divisors is an integer number (258550110).

Almost surely, 2^27827630208 is an apocalyptic number.

27827630208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27827630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641621120).

27827630208 is an abundant number, since it is smaller than the sum of its proper divisors (71455612032).

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

27827630208 is a wasteful number, since it uses less digits than its factorization.

27827630208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27827630208 in words is "twenty-seven billion, eight hundred twenty-seven million, six hundred thirty thousand, two hundred eight".