27606603672 has 96 divisors (see below), whose sum is σ = 75713114880. Its totient is φ = 9086584320.

The previous prime is 27606603571. The next prime is 27606603779. The reversal of 27606603672 is 27630660672.

27606603672 is a `hidden beast` number, since 2 + 7 + 606 + 6 + 0 + 36 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876698 + ... + 1891350.

It is an arithmetic number, because the mean of its divisors is an integer number (788678280).

Almost surely, 2^27606603672 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 27606603672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37856557440).

27606603672 is an abundant number, since it is smaller than the sum of its proper divisors (48106511208).

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

27606603672 is a wasteful number, since it uses less digits than its factorization.

27606603672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 27606603672 in words is "twenty-seven billion, six hundred six million, six hundred three thousand, six hundred seventy-two".