27144643240 has 512 divisors, whose sum is σ = 81125452800. Its totient is φ = 8012759040.

The previous prime is 27144643231. The next prime is 27144643283. The reversal of 27144643240 is 4234644172.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27144643240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118535446 + ... + 118535674.

It is an arithmetic number, because the mean of its divisors is an integer number (158448150).

Almost surely, 2^27144643240 is an apocalyptic number.

27144643240 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 27144643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40562726400).

27144643240 is an abundant number, since it is smaller than the sum of its proper divisors (53980809560).

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

27144643240 is a wasteful number, since it uses less digits than its factorization.

27144643240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 27144643240 in words is "twenty-seven billion, one hundred forty-four million, six hundred forty-three thousand, two hundred forty".