27268664416 has 288 divisors, whose sum is σ = 69268469760. Its totient is φ = 10305792000.

The previous prime is 27268664407. The next prime is 27268664419. The reversal of 27268664416 is 61446686272.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27268664419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384065661 + ... + 384065731.

It is an arithmetic number, because the mean of its divisors is an integer number (240515520).

Almost surely, 2^27268664416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27268664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34634234880).

27268664416 is an abundant number, since it is smaller than the sum of its proper divisors (41999805344).

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

27268664416 is a wasteful number, since it uses less digits than its factorization.

27268664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 171 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The spelling of 27268664416 in words is "twenty-seven billion, two hundred sixty-eight million, six hundred sixty-four thousand, four hundred sixteen".