27804399840 has 144 divisors (see below), whose sum is σ = 108437198688. Its totient is φ = 6355289088.

The previous prime is 27804399817. The next prime is 27804399841. The reversal of 27804399840 is 4899340872.

27804399840 is a `hidden beast` number, since 2 + 7 + 80 + 439 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27804399841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1369107 + ... + 1389266.

It is an arithmetic number, because the mean of its divisors is an integer number (753036102).

Almost surely, 2^27804399840 is an apocalyptic number.

27804399840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27804399840 is an abundant number, since it is smaller than the sum of its proper divisors (80632798848).

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

27804399840 is a wasteful number, since it uses less digits than its factorization.

27804399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758401 (or 2758390 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27804399840 in words is "twenty-seven billion, eight hundred four million, three hundred ninety-nine thousand, eight hundred forty".