27646967120448 has 112 divisors (see below), whose sum is σ = 79342869650240. Its totient is φ = 8445559302144.

The previous prime is 27646967120447. The next prime is 27646967120453. The reversal of 27646967120448 is 84402176964672.

It is not an unprimeable number, because it can be changed into a prime (27646967120441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39496615 + ... + 40190502.

It is an arithmetic number, because the mean of its divisors is an integer number (708418479020).

Almost surely, 2^{27646967120448} is an apocalyptic number.

It is an amenable number.

27646967120448 is an abundant number, since it is smaller than the sum of its proper divisors (51695902529792).

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

27646967120448 is a wasteful number, since it uses less digits than its factorization.

27646967120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79687284 (or 79687274 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 27646967120448 in words is "twenty-seven trillion, six hundred forty-six billion, nine hundred sixty-seven million, one hundred twenty thousand, four hundred forty-eight".