27657675672 has 48 divisors (see below), whose sum is σ = 76001472120. Its totient is φ = 8381112960.

The previous prime is 27657675611. The next prime is 27657675677.

It is a happy number.

27657675672 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27657675677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4759093 + ... + 4764900.

Almost surely, 2^27657675672 is an apocalyptic number.

27657675672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27657675672 is an abundant number, since it is smaller than the sum of its proper divisors (48343796448).

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

27657675672 is a wasteful number, since it uses less digits than its factorization.

27657675672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524024 (or 9524009 counting only the distinct ones).

The product of its digits is 51861600, while the sum is 60.

The spelling of 27657675672 in words is "twenty-seven billion, six hundred fifty-seven million, six hundred seventy-five thousand, six hundred seventy-two".