27783608384 has 84 divisors (see below), whose sum is σ = 64179381420. Its totient is φ = 11898915840.

The previous prime is 27783608383. The next prime is 27783608387. The reversal of 27783608384 is 48380638772.

It can be written as a sum of positive squares in 2 ways, for example, as 16017433600 + 11766174784 = 126560^2 + 108472^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (27783608383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6963062 + ... + 6967050.

It is an arithmetic number, because the mean of its divisors is an integer number (764040255).

Almost surely, 2^27783608384 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 27783608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32089690710).

27783608384 is an abundant number, since it is smaller than the sum of its proper divisors (36395773036).

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

27783608384 is a wasteful number, since it uses less digits than its factorization.

27783608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 27783608384 in words is "twenty-seven billion, seven hundred eighty-three million, six hundred eight thousand, three hundred eighty-four".