27064227702720 has 224 divisors, whose sum is σ = 92548796977728. Its totient is φ = 6661246943232.

The previous prime is 27064227702679. The next prime is 27064227702769. The reversal of 27064227702720 is 2720772246072.

It is a super-2 number, since 2×27064227702720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27064227702720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120906742 + ... + 121130378.

It is an arithmetic number, because the mean of its divisors is an integer number (413164272222).

Almost surely, 2^{27064227702720} is an apocalyptic number.

27064227702720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27064227702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46274398488864).

27064227702720 is an abundant number, since it is smaller than the sum of its proper divisors (65484569275008).

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

27064227702720 is a wasteful number, since it uses less digits than its factorization.

27064227702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233367 (or 233357 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 48.

Adding to 27064227702720 its reverse (2720772246072), we get a palindrome (29784999948792).

The spelling of 27064227702720 in words is "twenty-seven trillion, sixty-four billion, two hundred twenty-seven million, seven hundred two thousand, seven hundred twenty".