27064641072 has 160 divisors (see below), whose sum is σ = 80750387200. Its totient is φ = 7651355904.

The previous prime is 27064641061. The next prime is 27064641103. The reversal of 27064641072 is 27014646072.

It is a self number, because there is not a number n which added to its sum of digits gives 27064641072.

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, 17139579 + ... + 17141157.

It is an arithmetic number, because the mean of its divisors is an integer number (504689920).

Almost surely, 2^27064641072 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 27064641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40375193600).

27064641072 is an abundant number, since it is smaller than the sum of its proper divisors (53685746128).

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

27064641072 is a wasteful number, since it uses less digits than its factorization.

27064641072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

Subtracting from 27064641072 its reverse (27014646072), we obtain a triangular number (49995000 = T₉₉₉₉).

The spelling of 27064641072 in words is "twenty-seven billion, sixty-four million, six hundred forty-one thousand, seventy-two".