27506614667 has 24 divisors (see below), whose sum is σ = 32323705920. Its totient is φ = 23337175680.

The previous prime is 27506614657. The next prime is 27506614673. The reversal of 27506614667 is 76641660572.

It is not a de Polignac number, because 27506614667 - 2¹⁴ = 27506598283 is a prime.

It is a super-2 number, since 2×27506614667² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27506614607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7085567 + ... + 7089447.

It is an arithmetic number, because the mean of its divisors is an integer number (1346821080).

Almost surely, 2^27506614667 is an apocalyptic number.

27506614667 is a deficient number, since it is larger than the sum of its proper divisors (4817091253).

27506614667 is a wasteful number, since it uses less digits than its factorization.

27506614667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 27506614667 in words is "twenty-seven billion, five hundred six million, six hundred fourteen thousand, six hundred sixty-seven".