27322106436 has 63 divisors (see below), whose sum is σ = 71711162733. Its totient is φ = 9104393520.

The previous prime is 27322106417. The next prime is 27322106447. The reversal of 27322106436 is 63460122372.

The square root of 27322106436 is 165294.

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

27322106436 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 2 + 1 + 0 + 643 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26051896836 + 1270209600 = 161406^2 + 35640^2 .

It is a super-2 number, since 2×27322106436² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27322106436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8924346 + ... + 8927406.

Almost surely, 2^27322106436 is an apocalyptic number.

27322106436 is the 165294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27322106436

27322106436 is an abundant number, since it is smaller than the sum of its proper divisors (44389056297).

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

27322106436 is an frugal number, since it uses more digits than its factorization.

27322106436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 27322106436 by its sum of digits (36), we get a square (983595831696 = 991764²).

27322106436 divided by its sum of digits (36) gives a square (758947401 = 27549²).

The spelling of 27322106436 in words is "twenty-seven billion, three hundred twenty-two million, one hundred six thousand, four hundred thirty-six".