27734380704 has 72 divisors (see below), whose sum is σ = 78916373172. Its totient is φ = 9239316480.

The previous prime is 27734380673. The next prime is 27734380717. The reversal of 27734380704 is 40708343772.

It can be written as a sum of positive squares in 2 ways, for example, as 27339961104 + 394419600 = 165348^2 + 19860^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27734380704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473752 + ... + 529064.

Almost surely, 2^27734380704 is an apocalyptic number.

27734380704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27734380704 is an abundant number, since it is smaller than the sum of its proper divisors (51181992468).

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

27734380704 is a wasteful number, since it uses less digits than its factorization.

27734380704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57070 (or 57059 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 27734380704 in words is "twenty-seven billion, seven hundred thirty-four million, three hundred eighty thousand, seven hundred four".