27071734320 has 480 divisors, whose sum is σ = 101532787200. Its totient is φ = 6431932416.

The previous prime is 27071734301. The next prime is 27071734363. The reversal of 27071734320 is 2343717072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18812161 + ... + 18813599.

It is an arithmetic number, because the mean of its divisors is an integer number (211526640).

Almost surely, 2^27071734320 is an apocalyptic number.

27071734320 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 27071734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50766393600).

27071734320 is an abundant number, since it is smaller than the sum of its proper divisors (74461052880).

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

27071734320 is a wasteful number, since it uses less digits than its factorization.

27071734320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 27071734320 in words is "twenty-seven billion, seventy-one million, seven hundred thirty-four thousand, three hundred twenty".