27349221376 has 171 divisors, whose sum is σ = 61324277529. Its totient is φ = 12192841728.

The previous prime is 27349221373. The next prime is 27349221377. The reversal of 27349221376 is 67312294372.

It is a happy number.

The square root of 27349221376 is 165376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21292646400 + 6056574976 = 145920^2 + 77824^2 .

It is a Duffinian number.

Its product of digits (762048) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (27349221373) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1439432695 + ... + 1439432713.

Almost surely, 2^27349221376 is an apocalyptic number.

27349221376 is the 165376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27349221376

27349221376 is an abundant number, since it is smaller than the sum of its proper divisors (33975056153).

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

27349221376 is an frugal number, since it uses more digits than its factorization.

27349221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 38 counting only the distinct ones).

The product of its digits is 762048, while the sum is 46.

The spelling of 27349221376 in words is "twenty-seven billion, three hundred forty-nine million, two hundred twenty-one thousand, three hundred seventy-six".