27663727014 has 192 divisors, whose sum is σ = 78304891392. Its totient is φ = 7110374400.

The previous prime is 27663726991. The next prime is 27663727061. The reversal of 27663727014 is 41072736672.

27663727014 is a `hidden beast` number, since 2 + 7 + 6 + 637 + 2 + 7 + 0 + 1 + 4 = 666.

It is a super-3 number, since 3×27663727014³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3626124 + ... + 3633744.

It is an arithmetic number, because the mean of its divisors is an integer number (407837976).

Almost surely, 2^27663727014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27663727014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39152445696).

27663727014 is an abundant number, since it is smaller than the sum of its proper divisors (50641164378).

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

27663727014 is a wasteful number, since it uses less digits than its factorization.

27663727014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 27663727014 in words is "twenty-seven billion, six hundred sixty-three million, seven hundred twenty-seven thousand, fourteen".