27643478016 has 432 divisors, whose sum is σ = 93717171072. Its totient is φ = 7093616640.

The previous prime is 27643478003. The next prime is 27643478039. The reversal of 27643478016 is 61087434672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 333053911 + ... + 333053993.

It is an arithmetic number, because the mean of its divisors is an integer number (216937896).

Almost surely, 2^27643478016 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 27643478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46858585536).

27643478016 is an abundant number, since it is smaller than the sum of its proper divisors (66073693056).

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

27643478016 is an frugal number, since it uses more digits than its factorization.

27643478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 27643478016 in words is "twenty-seven billion, six hundred forty-three million, four hundred seventy-eight thousand, sixteen".