27949343268 has 288 divisors, whose sum is σ = 83951472640. Its totient is φ = 7082380800.

The previous prime is 27949343267. The next prime is 27949343327. The reversal of 27949343268 is 86234394972.

It is a super-2 number, since 2×27949343268² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27949343267) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 103133973 + ... + 103134243.

Almost surely, 2^27949343268 is an apocalyptic number.

27949343268 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 27949343268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41975736320).

27949343268 is an abundant number, since it is smaller than the sum of its proper divisors (56002129372).

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

27949343268 is a wasteful number, since it uses less digits than its factorization.

27949343268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 27949343268 in words is "twenty-seven billion, nine hundred forty-nine million, three hundred forty-three thousand, two hundred sixty-eight".