27324721872 has 160 divisors (see below), whose sum is σ = 89970114560. Its totient is φ = 7778021760.

The previous prime is 27324721859. The next prime is 27324721909. The reversal of 27324721872 is 27812742372.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 802833 + ... + 836175.

It is an arithmetic number, because the mean of its divisors is an integer number (562313216).

Almost surely, 2^27324721872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27324721872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44985057280).

27324721872 is an abundant number, since it is smaller than the sum of its proper divisors (62645392688).

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

27324721872 is a wasteful number, since it uses less digits than its factorization.

27324721872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33638 (or 33626 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The spelling of 27324721872 in words is "twenty-seven billion, three hundred twenty-four million, seven hundred twenty-one thousand, eight hundred seventy-two".