27774222336 has 459 divisors, whose sum is σ = 96443745723. Its totient is φ = 7679508480.

The previous prime is 27774222331. The next prime is 27774222341. The reversal of 27774222336 is 63322247772.

The square root of 27774222336 is 166656.

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

27774222336 is a `hidden beast` number, since 27 + 7 + 74 + 222 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (27774222331) and next prime (27774222341).

It is a super-2 number, since 2×27774222336² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27774222291 and 27774222300.

It is not an unprimeable number, because it can be changed into a prime (27774222331) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 895942641 + ... + 895942671.

Almost surely, 2^27774222336 is an apocalyptic number.

27774222336 is the 166656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27774222336

27774222336 is an abundant number, since it is smaller than the sum of its proper divisors (68669523387).

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

27774222336 is an frugal number, since it uses more digits than its factorization.

27774222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 43 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 45.

The spelling of 27774222336 in words is "twenty-seven billion, seven hundred seventy-four million, two hundred twenty-two thousand, three hundred thirty-six".