27348084036 has 432 divisors, whose sum is σ = 95158627200. Its totient is φ = 6533581824.

The previous prime is 27348084031. The next prime is 27348084077. The reversal of 27348084036 is 63048084372.

It is a junction number, because it is equal to n+sod(n) for n = 27348083982 and 27348084000.

It is not an unprimeable number, because it can be changed into a prime (27348084031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10019920 + ... + 10022648.

It is an arithmetic number, because the mean of its divisors is an integer number (220274600).

Almost surely, 2^27348084036 is an apocalyptic number.

27348084036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27348084036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47579313600).

27348084036 is an abundant number, since it is smaller than the sum of its proper divisors (67810543164).

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

27348084036 is a wasteful number, since it uses less digits than its factorization.

27348084036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27348084036 in words is "twenty-seven billion, three hundred forty-eight million, eighty-four thousand, thirty-six".