27007819314 has 96 divisors (see below), whose sum is σ = 63660931200. Its totient is φ = 7635424608.

The previous prime is 27007819313. The next prime is 27007819343. The reversal of 27007819314 is 41391870072.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27007819313) 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, 21832704 + ... + 21833940.

It is an arithmetic number, because the mean of its divisors is an integer number (663134700).

Almost surely, 2^27007819314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27007819314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31830465600).

27007819314 is an abundant number, since it is smaller than the sum of its proper divisors (36653111886).

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

27007819314 is a wasteful number, since it uses less digits than its factorization.

27007819314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 27007819314 in words is "twenty-seven billion, seven million, eight hundred nineteen thousand, three hundred fourteen".