27842814720 has 576 divisors, whose sum is σ = 114579118080. Its totient is φ = 6270566400.

The previous prime is 27842814707. The next prime is 27842814721. The reversal of 27842814720 is 2741824872.

27842814720 is a `hidden beast` number, since 27 + 84 + 2 + 81 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (27842814721) 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 63 ways as a sum of consecutive naturals, for example, 17175510 + ... + 17177130.

It is an arithmetic number, because the mean of its divisors is an integer number (198922080).

Almost surely, 2^27842814720 is an apocalyptic number.

27842814720 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 27842814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57289559040).

27842814720 is an abundant number, since it is smaller than the sum of its proper divisors (86736303360).

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

27842814720 is a wasteful number, since it uses less digits than its factorization.

27842814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 27842814720 in words is "twenty-seven billion, eight hundred forty-two million, eight hundred fourteen thousand, seven hundred twenty".