27343650816 has 408 divisors, whose sum is σ = 87595273584. Its totient is φ = 8493465600.

The previous prime is 27343650791. The next prime is 27343650821. The reversal of 27343650816 is 61805634372.

27343650816 is a `hidden beast` number, since 273 + 4 + 365 + 0 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (408).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270729166 + ... + 270729266.

It is an arithmetic number, because the mean of its divisors is an integer number (214694298).

Almost surely, 2^27343650816 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 27343650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43797636792).

27343650816 is an abundant number, since it is smaller than the sum of its proper divisors (60251622768).

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

27343650816 is an frugal number, since it uses more digits than its factorization.

27343650816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27343650816 in words is "twenty-seven billion, three hundred forty-three million, six hundred fifty thousand, eight hundred sixteen".