18280368000 has 768 divisors, whose sum is σ = 69801488640. Its totient is φ = 4578508800.

The previous prime is 18280367983. The next prime is 18280368017. The reversal of 18280368000 is 86308281.

18280368000 is a `hidden beast` number, since 18 + 280 + 368 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18280367983) and next prime (18280368017).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250415964 + ... + 250416036.

It is an arithmetic number, because the mean of its divisors is an integer number (90887355).

Almost surely, 2^18280368000 is an apocalyptic number.

18280368000 is a gapful number since it is divisible by the number (10) 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 18280368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34900744320).

18280368000 is an abundant number, since it is smaller than the sum of its proper divisors (51521120640).

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

18280368000 is a wasteful number, since it uses less digits than its factorization.

18280368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18280368000 in words is "eighteen billion, two hundred eighty million, three hundred sixty-eight thousand".