18075592668672 has 1280 divisors, whose sum is σ = 67496708505600. Its totient is φ = 4639847546880.

The previous prime is 18075592668667. The next prime is 18075592668673. The reversal of 18075592668672 is 27686629557081.

18075592668672 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 559 + 2 + 6 + 6 + 8 + 67 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18075592668672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18075592668673) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 57749497188 + ... + 57749497500.

It is an arithmetic number, because the mean of its divisors is an integer number (52731803520).

Almost surely, 2^{18075592668672} is an apocalyptic number.

18075592668672 is a gapful number since it is divisible by the number (12) 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 18075592668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33748354252800).

18075592668672 is an abundant number, since it is smaller than the sum of its proper divisors (49421115836928).

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

18075592668672 is a wasteful number, since it uses less digits than its factorization.

18075592668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 18075592668672 in words is "eighteen trillion, seventy-five billion, five hundred ninety-two million, six hundred sixty-eight thousand, six hundred seventy-two".