27641073064 has 64 divisors (see below), whose sum is σ = 57028308480. Its totient is φ = 12455640000.

The previous prime is 27641073059. The next prime is 27641073071. The reversal of 27641073064 is 46037014672.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7585627 + ... + 7589269.

It is an arithmetic number, because the mean of its divisors is an integer number (891067320).

Almost surely, 2^27641073064 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 27641073064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28514154240).

27641073064 is an abundant number, since it is smaller than the sum of its proper divisors (29387235416).

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

27641073064 is a wasteful number, since it uses less digits than its factorization.

27641073064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 27641073064 in words is "twenty-seven billion, six hundred forty-one million, seventy-three thousand, sixty-four".