18130074480 has 480 divisors, whose sum is σ = 73661952000. Its totient is φ = 4142492928.

The previous prime is 18130074467. The next prime is 18130074491. The reversal of 18130074480 is 8447003181.

18130074480 is a `hidden beast` number, since 1 + 81 + 30 + 0 + 74 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6666561 + ... + 6669279.

It is an arithmetic number, because the mean of its divisors is an integer number (153462400).

Almost surely, 2^18130074480 is an apocalyptic number.

18130074480 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 18130074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830976000).

18130074480 is an abundant number, since it is smaller than the sum of its proper divisors (55531877520).

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

18130074480 is an equidigital number, since it uses as much as digits as its factorization.

18130074480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 18130074480 in words is "eighteen billion, one hundred thirty million, seventy-four thousand, four hundred eighty".