27683942832 has 800 divisors, whose sum is σ = 103811355648. Its totient is φ = 6928975872.

The previous prime is 27683942821. The next prime is 27683942863. The reversal of 27683942832 is 23824938672.

27683942832 is a `hidden beast` number, since 276 + 8 + 3 + 94 + 283 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (6967296) is a multiple of the sum of its prime divisors (224).

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 159 ways as a sum of consecutive naturals, for example, 268776093 + ... + 268776195.

Almost surely, 2^27683942832 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 27683942832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51905677824).

27683942832 is an abundant number, since it is smaller than the sum of its proper divisors (76127412816).

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

27683942832 is a wasteful number, since it uses less digits than its factorization.

27683942832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 27683942832 in words is "twenty-seven billion, six hundred eighty-three million, nine hundred forty-two thousand, eight hundred thirty-two".