18364926666240 has 2880 divisors, whose sum is σ = 85522420589760. Its totient is φ = 3719607091200.

The previous prime is 18364926666239. The next prime is 18364926666277. The reversal of 18364926666240 is 4266662946381.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16802311134 + ... + 16802312226.

It is an arithmetic number, because the mean of its divisors is an integer number (29695284927).

Almost surely, 2^{18364926666240} is an apocalyptic number.

18364926666240 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 18364926666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42761210294880).

18364926666240 is an abundant number, since it is smaller than the sum of its proper divisors (67157493923520).

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

18364926666240 is a wasteful number, since it uses less digits than its factorization.

18364926666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 18364926666240 in words is "eighteen trillion, three hundred sixty-four billion, nine hundred twenty-six million, six hundred sixty-six thousand, two hundred forty".