18630076308480 has 3520 divisors, whose sum is σ = 86924583567360. Its totient is φ = 3730234540032.

The previous prime is 18630076308451. The next prime is 18630076308491. The reversal of 18630076308480 is 8480367003681.

18630076308480 is a `hidden beast` number, since 1 + 8 + 63 + 0 + 0 + 76 + 30 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 146693514177 + ... + 146693514303.

It is an arithmetic number, because the mean of its divisors is an integer number (24694483968).

Almost surely, 2^{18630076308480} is an apocalyptic number.

18630076308480 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 18630076308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43462291783680).

18630076308480 is an abundant number, since it is smaller than the sum of its proper divisors (68294507258880).

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

18630076308480 is a wasteful number, since it uses less digits than its factorization.

18630076308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 18630076308480 in words is "eighteen trillion, six hundred thirty billion, seventy-six million, three hundred eight thousand, four hundred eighty".