27657675648 has 96 divisors (see below), whose sum is σ = 81281360160. Its totient is φ = 9023053824.

The previous prime is 27657675611. The next prime is 27657675677. The reversal of 27657675648 is 84657675672.

27657675648 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 7 + 67 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 201265 + ... + 309552.

It is an arithmetic number, because the mean of its divisors is an integer number (846680835).

Almost surely, 2^27657675648 is an apocalyptic number.

It is an amenable number.

27657675648 is an abundant number, since it is smaller than the sum of its proper divisors (53623684512).

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

27657675648 is a wasteful number, since it uses less digits than its factorization.

27657675648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510884 (or 510869 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 27657675648 in words is "twenty-seven billion, six hundred fifty-seven million, six hundred seventy-five thousand, six hundred forty-eight".