27734403271704 has 128 divisors (see below), whose sum is σ = 72157210352640. Its totient is φ = 8876165322752.

The previous prime is 27734403271691. The next prime is 27734403271721. The reversal of 27734403271704 is 40717230443772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501380752 + ... + 501436064.

It is an arithmetic number, because the mean of its divisors is an integer number (563728205880).

Almost surely, 2^{27734403271704} is an apocalyptic number.

27734403271704 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 27734403271704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36078605176320).

27734403271704 is an abundant number, since it is smaller than the sum of its proper divisors (44422807080936).

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

27734403271704 is a wasteful number, since it uses less digits than its factorization.

27734403271704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63809 (or 63805 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 51.

The spelling of 27734403271704 in words is "twenty-seven trillion, seven hundred thirty-four billion, four hundred three million, two hundred seventy-one thousand, seven hundred four".