27045491760 has 720 divisors, whose sum is σ = 114394303296. Its totient is φ = 5804752896.

The previous prime is 27045491729. The next prime is 27045491779. The reversal of 27045491760 is 6719454072.

27045491760 is a `hidden beast` number, since 27 + 0 + 454 + 9 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 62460504 + ... + 62460936.

Almost surely, 2^27045491760 is an apocalyptic number.

27045491760 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 27045491760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57197151648).

27045491760 is an abundant number, since it is smaller than the sum of its proper divisors (87348811536).

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

27045491760 is an equidigital number, since it uses as much as digits as its factorization.

27045491760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27045491760 in words is "twenty-seven billion, forty-five million, four hundred ninety-one thousand, seven hundred sixty".