27403160704 has 128 divisors (see below), whose sum is σ = 60576984000. Its totient is φ = 12294696960.

The previous prime is 27403160683. The next prime is 27403160717. The reversal of 27403160704 is 40706130472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 27403160704.

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 15 ways as a sum of consecutive naturals, for example, 3734319 + ... + 3741649.

Almost surely, 2^27403160704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27403160704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30288492000).

27403160704 is an abundant number, since it is smaller than the sum of its proper divisors (33173823296).

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

27403160704 is a wasteful number, since it uses less digits than its factorization.

27403160704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 27403160704 in words is "twenty-seven billion, four hundred three million, one hundred sixty thousand, seven hundred four".