27726246144 has 81 divisors (see below), whose sum is σ = 79964654133. Its totient is φ = 9239417856.

The previous prime is 27726246091. The next prime is 27726246181. The reversal of 27726246144 is 44164262772.

The square root of 27726246144 is 166512.

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

27726246144 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 6 + 24 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 777740544 + 26948505600 = 27888^2 + 164160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27726246144.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7990842 + ... + 7994310.

Almost surely, 2^27726246144 is an apocalyptic number.

27726246144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27726246144 is the 166512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27726246144

27726246144 is an abundant number, since it is smaller than the sum of its proper divisors (52238407989).

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

27726246144 is an frugal number, since it uses more digits than its factorization.

27726246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 3474 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 27726246144 in words is "twenty-seven billion, seven hundred twenty-six million, two hundred forty-six thousand, one hundred forty-four".