27768384075 has 48 divisors (see below), whose sum is σ = 48285766656. Its totient is φ = 14061590400.

The previous prime is 27768384029. The next prime is 27768384221. The reversal of 27768384075 is 57048386772.

It is a happy number.

It is not a de Polignac number, because 27768384075 - 2⁷ = 27768383947 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10552 + ... + 235898.

It is an arithmetic number, because the mean of its divisors is an integer number (1005953472).

Almost surely, 2^27768384075 is an apocalyptic number.

27768384075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27768384075 is a deficient number, since it is larger than the sum of its proper divisors (20517382581).

27768384075 is a wasteful number, since it uses less digits than its factorization.

27768384075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225444 (or 225439 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 27768384075 in words is "twenty-seven billion, seven hundred sixty-eight million, three hundred eighty-four thousand, seventy-five".