27993468360 has 512 divisors, whose sum is σ = 108399513600. Its totient is φ = 5675028480.

The previous prime is 27993468359. The next prime is 27993468389. The reversal of 27993468360 is 6386439972.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 27993468360.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7497054 + ... + 7500786.

It is an arithmetic number, because the mean of its divisors is an integer number (211717800).

Almost surely, 2^27993468360 is an apocalyptic number.

27993468360 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 27993468360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54199756800).

27993468360 is an abundant number, since it is smaller than the sum of its proper divisors (80406045240).

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

27993468360 is a wasteful number, since it uses less digits than its factorization.

27993468360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 27993468360 in words is "twenty-seven billion, nine hundred ninety-three million, four hundred sixty-eight thousand, three hundred sixty".