27640505214 has 96 divisors (see below), whose sum is σ = 69419750400. Its totient is φ = 7785248256.

The previous prime is 27640505209. The next prime is 27640505237. The reversal of 27640505214 is 41250504672.

It is a happy number.

27640505214 is a `hidden beast` number, since 2 + 7 + 640 + 5 + 0 + 5 + 2 + 1 + 4 = 666.

It is a super-2 number, since 2×27640505214² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3210087 + ... + 3218685.

It is an arithmetic number, because the mean of its divisors is an integer number (723122400).

Almost surely, 2^27640505214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27640505214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34709875200).

27640505214 is an abundant number, since it is smaller than the sum of its proper divisors (41779245186).

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

27640505214 is a wasteful number, since it uses less digits than its factorization.

27640505214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8971 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 27640505214 in words is "twenty-seven billion, six hundred forty million, five hundred five thousand, two hundred fourteen".