27042729336 has 192 divisors, whose sum is σ = 91373318400. Its totient is φ = 7319766528.

The previous prime is 27042729323. The next prime is 27042729347. The reversal of 27042729336 is 63392724072.

27042729336 is a `hidden beast` number, since 270 + 4 + 27 + 29 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27042729291 and 27042729300.

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, 206256 + ... + 310848.

It is an arithmetic number, because the mean of its divisors is an integer number (475902700).

Almost surely, 2^27042729336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27042729336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45686659200).

27042729336 is an abundant number, since it is smaller than the sum of its proper divisors (64330589064).

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

27042729336 is a wasteful number, since it uses less digits than its factorization.

27042729336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104640 (or 104624 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 27042729336 in words is "twenty-seven billion, forty-two million, seven hundred twenty-nine thousand, three hundred thirty-six".