27268434186642 has 48 divisors (see below), whose sum is σ = 64635248235168. Its totient is φ = 8239753463040.

The previous prime is 27268434186629. The next prime is 27268434186671. The reversal of 27268434186642 is 24668143486272.

27268434186642 is a `hidden beast` number, since 2 + 7 + 2 + 68 + 434 + 1 + 86 + 64 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27268434186642.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195000028 + ... + 195139815.

It is an arithmetic number, because the mean of its divisors is an integer number (1346567671566).

Almost surely, 2^{27268434186642} is an apocalyptic number.

27268434186642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27268434186642 is an abundant number, since it is smaller than the sum of its proper divisors (37366814048526).

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

27268434186642 is a wasteful number, since it uses less digits than its factorization.

27268434186642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390140215 (or 390140212 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 27268434186642 in words is "twenty-seven trillion, two hundred sixty-eight billion, four hundred thirty-four million, one hundred eighty-six thousand, six hundred forty-two".