27264618172064 has 96 divisors (see below), whose sum is σ = 66068403287040. Its totient is φ = 10785327501312.

The previous prime is 27264618172063. The next prime is 27264618172081. The reversal of 27264618172064 is 46027181646272.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (27264618172063) 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, 47568017 + ... + 48137775.

It is an arithmetic number, because the mean of its divisors is an integer number (688212534240).

Almost surely, 2^{27264618172064} is an apocalyptic number.

It is an amenable number.

27264618172064 is an abundant number, since it is smaller than the sum of its proper divisors (38803785114976).

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

27264618172064 is a wasteful number, since it uses less digits than its factorization.

27264618172064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586222 (or 586214 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 27264618172064 in words is "twenty-seven trillion, two hundred sixty-four billion, six hundred eighteen million, one hundred seventy-two thousand, sixty-four".