27493564320 has 192 divisors, whose sum is σ = 97416708480. Its totient is φ = 7331523840.

The previous prime is 27493564261. The next prime is 27493564321. The reversal of 27493564320 is 2346539472.

27493564320 is a `hidden beast` number, since 27 + 49 + 3 + 564 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27493564321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310635 + ... + 389205.

It is an arithmetic number, because the mean of its divisors is an integer number (507378690).

Almost surely, 2^27493564320 is an apocalyptic number.

27493564320 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 27493564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48708354240).

27493564320 is an abundant number, since it is smaller than the sum of its proper divisors (69923144160).

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

27493564320 is an frugal number, since it uses more digits than its factorization.

27493564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78607 (or 78581 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 27493564320 in words is "twenty-seven billion, four hundred ninety-three million, five hundred sixty-four thousand, three hundred twenty".