27680408672 has 48 divisors (see below), whose sum is σ = 62293029120. Its totient is φ = 11860725888.

The previous prime is 27680408653. The next prime is 27680408677.

27680408672 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 27680408672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27680408677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662533 + ... + 1679099.

It is an arithmetic number, because the mean of its divisors is an integer number (1297771440).

Almost surely, 2^27680408672 is an apocalyptic number.

It is an amenable number.

27680408672 is an abundant number, since it is smaller than the sum of its proper divisors (34612620448).

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

27680408672 is a wasteful number, since it uses less digits than its factorization.

27680408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24043 (or 24035 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 27680408672 in words is "twenty-seven billion, six hundred eighty million, four hundred eight thousand, six hundred seventy-two".