27680221472 has 18 divisors (see below), whose sum is σ = 54497288979. Its totient is φ = 13839640160.

The previous prime is 27680221463. The next prime is 27680221487. The reversal of 27680221472 is 27412208672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 13840110736 + 13840110736 = 117644^2 + 117644^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=117644.

It is a super-3 number, since 3×27680221472³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 926447 + ... + 955857.

Almost surely, 2^27680221472 is an apocalyptic number.

It is an amenable number.

27680221472 is a deficient number, since it is larger than the sum of its proper divisors (26817067507).

27680221472 is an frugal number, since it uses more digits than its factorization.

27680221472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58832 (or 29413 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 27680221472 in words is "twenty-seven billion, six hundred eighty million, two hundred twenty-one thousand, four hundred seventy-two".