27672953568 has 192 divisors, whose sum is σ = 80725296960. Its totient is φ = 8245297152.

The previous prime is 27672953563. The next prime is 27672953599. The reversal of 27672953568 is 86535927672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27672953563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10572996 + ... + 10575612.

It is an arithmetic number, because the mean of its divisors is an integer number (420444255).

Almost surely, 2^27672953568 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 27672953568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40362648480).

27672953568 is an abundant number, since it is smaller than the sum of its proper divisors (53052343392).

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

27672953568 is a wasteful number, since it uses less digits than its factorization.

27672953568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2901 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The spelling of 27672953568 in words is "twenty-seven billion, six hundred seventy-two million, nine hundred fifty-three thousand, five hundred sixty-eight".