27484358874384 has 160 divisors (see below), whose sum is σ = 72632911196160. Its totient is φ = 8951580875776.

The previous prime is 27484358874377. The next prime is 27484358874407. The reversal of 27484358874384 is 48347885348472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873974637 + ... + 4873980275.

It is an arithmetic number, because the mean of its divisors is an integer number (453955694976).

Almost surely, 2^{27484358874384} is an apocalyptic number.

27484358874384 is a gapful number since it is divisible by the number (24) 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 27484358874384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36316455598080).

27484358874384 is an abundant number, since it is smaller than the sum of its proper divisors (45148552321776).

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

27484358874384 is a wasteful number, since it uses less digits than its factorization.

27484358874384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917 (or 8911 counting only the distinct ones).

The product of its digits is 4624220160, while the sum is 75.

The spelling of 27484358874384 in words is "twenty-seven trillion, four hundred eighty-four billion, three hundred fifty-eight million, eight hundred seventy-four thousand, three hundred eighty-four".