18365689742400 has 3360 divisors, whose sum is σ = 95422962539520. Its totient is φ = 3336837120000.

The previous prime is 18365689742399. The next prime is 18365689742431. The reversal of 18365689742400 is 424798656381.

18365689742400 is a `hidden beast` number, since 1 + 8 + 3 + 65 + 68 + 97 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2464858675 + ... + 2464866125.

It is an arithmetic number, because the mean of its divisors is an integer number (28399691232).

It is a 1-persistent number, because it is pandigital, but 2⋅18365689742400 = 36731379484800 is not.

Almost surely, 2^{18365689742400} is an apocalyptic number.

18365689742400 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 18365689742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47711481269760).

18365689742400 is an abundant number, since it is smaller than the sum of its proper divisors (77057272797120).

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

18365689742400 is a wasteful number, since it uses less digits than its factorization.

18365689742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 18365689742400 in words is "eighteen trillion, three hundred sixty-five billion, six hundred eighty-nine million, seven hundred forty-two thousand, four hundred".