18272714864640 has 768 divisors, whose sum is σ = 62340403507200. Its totient is φ = 4559569158144.

The previous prime is 18272714864603. The next prime is 18272714864653. The reversal of 18272714864640 is 4646841727281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×18272714864640² (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 a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6307459672 + ... + 6307462568.

It is an arithmetic number, because the mean of its divisors is an integer number (81172400400).

Almost surely, 2^{18272714864640} is an apocalyptic number.

18272714864640 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 18272714864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31170201753600).

18272714864640 is an abundant number, since it is smaller than the sum of its proper divisors (44067688642560).

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

18272714864640 is a wasteful number, since it uses less digits than its factorization.

18272714864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 18272714864640 in words is "eighteen trillion, two hundred seventy-two billion, seven hundred fourteen million, eight hundred sixty-four thousand, six hundred forty".