27749319360 has 336 divisors, whose sum is σ = 102923986176. Its totient is φ = 6315767808.

The previous prime is 27749319359. The next prime is 27749319361. The reversal of 27749319360 is 6391394772.

It is an interprime number because it is at equal distance from previous prime (27749319359) and next prime (27749319361).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (27749319361) 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 47 ways as a sum of consecutive naturals, for example, 12370399 + ... + 12372641.

Almost surely, 2^27749319360 is an apocalyptic number.

27749319360 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 27749319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51461993088).

27749319360 is an abundant number, since it is smaller than the sum of its proper divisors (75174666816).

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

27749319360 is a wasteful number, since it uses less digits than its factorization.

27749319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 27749319360 in words is "twenty-seven billion, seven hundred forty-nine million, three hundred nineteen thousand, three hundred sixty".