27013768320 has 1024 divisors, whose sum is σ = 115623936000. Its totient is φ = 5195612160.

The previous prime is 27013768319. The next prime is 27013768351. The reversal of 27013768320 is 2386731072.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165728559 + ... + 165728721.

It is an arithmetic number, because the mean of its divisors is an integer number (112914000).

Almost surely, 2^27013768320 is an apocalyptic number.

27013768320 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 27013768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57811968000).

27013768320 is an abundant number, since it is smaller than the sum of its proper divisors (88610167680).

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

27013768320 is a wasteful number, since it uses less digits than its factorization.

27013768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 27013768320 in words is "twenty-seven billion, thirteen million, seven hundred sixty-eight thousand, three hundred twenty".