27480384000 has 1120 divisors, whose sum is σ = 111634997760. Its totient is φ = 6718464000.

The previous prime is 27480383993. The next prime is 27480384013. The reversal of 27480384000 is 48308472.

27480384000 is a `hidden beast` number, since 274 + 8 + 0 + 384 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 886463985 + ... + 886464015.

Almost surely, 2^27480384000 is an apocalyptic number.

27480384000 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 27480384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55817498880).

27480384000 is an abundant number, since it is smaller than the sum of its proper divisors (84154613760).

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

27480384000 is an frugal number, since it uses more digits than its factorization.

27480384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 27480384000 in words is "twenty-seven billion, four hundred eighty million, three hundred eighty-four thousand".