27293220864 has 640 divisors, whose sum is σ = 101246856480. Its totient is φ = 7134511104.

The previous prime is 27293220859. The next prime is 27293220901. The reversal of 27293220864 is 46802239272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241532872 + ... + 241532984.

Almost surely, 2^27293220864 is an apocalyptic number.

27293220864 is a gapful number since it is divisible by the number (24) 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 27293220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50623428240).

27293220864 is an abundant number, since it is smaller than the sum of its proper divisors (73953635616).

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

27293220864 is an equidigital number, since it uses as much as digits as its factorization.

27293220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27293220864 in words is "twenty-seven billion, two hundred ninety-three million, two hundred twenty thousand, eight hundred sixty-four".