27746075214 has 96 divisors (see below), whose sum is σ = 70714766304. Its totient is φ = 7751427840.

The previous prime is 27746075179. The next prime is 27746075233. The reversal of 27746075214 is 41257064772.

27746075214 is a `hidden beast` number, since 27 + 7 + 4 + 607 + 5 + 2 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27746075214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189304 + ... + 2201940.

It is an arithmetic number, because the mean of its divisors is an integer number (736612149).

Almost surely, 2^27746075214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27746075214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35357383152).

27746075214 is an abundant number, since it is smaller than the sum of its proper divisors (42968691090).

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

27746075214 is a wasteful number, since it uses less digits than its factorization.

27746075214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522 (or 13519 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 27746075214 in words is "twenty-seven billion, seven hundred forty-six million, seventy-five thousand, two hundred fourteen".