18667267098480 has 960 divisors, whose sum is σ = 84256057267200. Its totient is φ = 3576976588800.

The previous prime is 18667267098479. The next prime is 18667267098503. The reversal of 18667267098480 is 8489076276681.

18667267098480 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 72 + 6 + 70 + 9 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18667267098399 and 18667267098408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 756022935 + ... + 756047625.

It is an arithmetic number, because the mean of its divisors is an integer number (87766726320).

Almost surely, 2^{18667267098480} is an apocalyptic number.

18667267098480 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 18667267098480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42128028633600).

18667267098480 is an abundant number, since it is smaller than the sum of its proper divisors (65588790168720).

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

18667267098480 is a wasteful number, since it uses less digits than its factorization.

18667267098480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25790 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 18667267098480 in words is "eighteen trillion, six hundred sixty-seven billion, two hundred sixty-seven million, ninety-eight thousand, four hundred eighty".