27304918564 has 243 divisors, whose sum is σ = 65033449299. Its totient is φ = 9993836160.

The previous prime is 27304918549. The next prime is 27304918607. The reversal of 27304918564 is 46581940372.

It is a happy number.

The square root of 27304918564 is 165242.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5811012900 + 21493905664 = 76230^2 + 146608^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 737970754 + ... + 737970790.

It is a 2-persistent number, because it is pandigital, and so is 2⋅27304918564 = 54609837128, but 3⋅27304918564 = 81914755692 is not.

Almost surely, 2^27304918564 is an apocalyptic number.

27304918564 is the 165242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27304918564

27304918564 is an abundant number, since it is smaller than the sum of its proper divisors (37728530735).

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

27304918564 is a wasteful number, since it uses less digits than its factorization.

27304918564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 27304918564 by its sum of digits (49), we get a square (1337941009636 = 1156694²).

27304918564 divided by its sum of digits (49) gives a square (557243236 = 23606²).

It can be divided in two parts, 2730 and 4918564, that added together give a palindrome (4921294).

The spelling of 27304918564 in words is "twenty-seven billion, three hundred four million, nine hundred eighteen thousand, five hundred sixty-four".