27468264240 has 320 divisors, whose sum is σ = 100313579520. Its totient is φ = 6896378880.

The previous prime is 27468264151. The next prime is 27468264281. The reversal of 27468264240 is 4246286472.

27468264240 is a `hidden beast` number, since 274 + 6 + 82 + 64 + 240 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471977 + ... + 2483063.

It is an arithmetic number, because the mean of its divisors is an integer number (313479936).

Almost surely, 2^27468264240 is an apocalyptic number.

27468264240 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 27468264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50156789760).

27468264240 is an abundant number, since it is smaller than the sum of its proper divisors (72845315280).

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

27468264240 is a wasteful number, since it uses less digits than its factorization.

27468264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11165 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 27468264240 in words is "twenty-seven billion, four hundred sixty-eight million, two hundred sixty-four thousand, two hundred forty".