27418681472 has 384 divisors, whose sum is σ = 73490820480. Its totient is φ = 10063872000.

The previous prime is 27418681429. The next prime is 27418681483.

27418681472 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27418681472.

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 47 ways as a sum of consecutive naturals, for example, 181580597 + ... + 181580747.

It is an arithmetic number, because the mean of its divisors is an integer number (191382345).

Almost surely, 2^27418681472 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 27418681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36745410240).

27418681472 is an abundant number, since it is smaller than the sum of its proper divisors (46072139008).

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

27418681472 is a wasteful number, since it uses less digits than its factorization.

27418681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 50.

The spelling of 27418681472 in words is "twenty-seven billion, four hundred eighteen million, six hundred eighty-one thousand, four hundred seventy-two".