27133843968 has 800 divisors, whose sum is σ = 104809541760. Its totient is φ = 6781501440.

The previous prime is 27133843967. The next prime is 27133843991. The reversal of 27133843968 is 86934833172.

27133843968 is a `hidden beast` number, since 271 + 338 + 4 + 39 + 6 + 8 = 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.

It is not an unprimeable number, because it can be changed into a prime (27133843967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92606830 + ... + 92607122.

Almost surely, 2^27133843968 is an apocalyptic number.

27133843968 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 27133843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52404770880).

27133843968 is an abundant number, since it is smaller than the sum of its proper divisors (77675697792).

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

27133843968 is a wasteful number, since it uses less digits than its factorization.

27133843968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 345 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 27133843968 in words is "twenty-seven billion, one hundred thirty-three million, eight hundred forty-three thousand, nine hundred sixty-eight".