27663628014 has 96 divisors (see below), whose sum is σ = 67229282016. Its totient is φ = 8147208960.

The previous prime is 27663627991. The next prime is 27663628019. The reversal of 27663628014 is 41082636672.

27663628014 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 3 + 628 + 0 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27663628019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9353824 + ... + 9356780.

It is an arithmetic number, because the mean of its divisors is an integer number (700305021).

Almost surely, 2^27663628014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27663628014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33614641008).

27663628014 is an abundant number, since it is smaller than the sum of its proper divisors (39565654002).

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

27663628014 is a wasteful number, since it uses less digits than its factorization.

27663628014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27663628014 in words is "twenty-seven billion, six hundred sixty-three million, six hundred twenty-eight thousand, fourteen".