27348661440 has 336 divisors, whose sum is σ = 96607274400. Its totient is φ = 7098384384.

The previous prime is 27348661423. The next prime is 27348661441. The reversal of 27348661440 is 4416684372.

27348661440 is a `hidden beast` number, since 2 + 73 + 4 + 86 + 61 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27348661441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21216316 + ... + 21217604.

It is an arithmetic number, because the mean of its divisors is an integer number (287521650).

Almost surely, 2^27348661440 is an apocalyptic number.

27348661440 is a gapful number since it is divisible by the number (20) 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 27348661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48303637200).

27348661440 is an abundant number, since it is smaller than the sum of its proper divisors (69258612960).

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

27348661440 is a wasteful number, since it uses less digits than its factorization.

27348661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

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

The spelling of 27348661440 in words is "twenty-seven billion, three hundred forty-eight million, six hundred sixty-one thousand, four hundred forty".