27338984568 has 320 divisors, whose sum is σ = 90883584000. Its totient is φ = 7513482240.

The previous prime is 27338984567. The next prime is 27338984573. The reversal of 27338984568 is 86548983372.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27338984567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27982096 + ... + 27983072.

It is an arithmetic number, because the mean of its divisors is an integer number (284011200).

Almost surely, 2^27338984568 is an apocalyptic number.

27338984568 is a gapful number since it is divisible by the number (28) 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 27338984568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45441792000).

27338984568 is an abundant number, since it is smaller than the sum of its proper divisors (63544599432).

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

27338984568 is a wasteful number, since it uses less digits than its factorization.

27338984568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1219 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 27338984568 in words is "twenty-seven billion, three hundred thirty-eight million, nine hundred eighty-four thousand, five hundred sixty-eight".