18375722764800 has 480 divisors, whose sum is σ = 61779136298880. Its totient is φ = 4813538918400.

The previous prime is 18375722764769. The next prime is 18375722764811. The reversal of 18375722764800 is 846722757381.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×18375722764800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941844869 + ... + 1941854331.

It is an arithmetic number, because the mean of its divisors is an integer number (128706533956).

Almost surely, 2^{18375722764800} is an apocalyptic number.

18375722764800 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 18375722764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30889568149440).

18375722764800 is an abundant number, since it is smaller than the sum of its proper divisors (43403413534080).

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

18375722764800 is an equidigital number, since it uses as much as digits as its factorization.

18375722764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10363 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 60.

The spelling of 18375722764800 in words is "eighteen trillion, three hundred seventy-five billion, seven hundred twenty-two million, seven hundred sixty-four thousand, eight hundred".