18665724960 has 288 divisors, whose sum is σ = 66047933952. Its totient is φ = 4795269120.

The previous prime is 18665724941. The next prime is 18665724967. The reversal of 18665724960 is 6942756681.

18665724960 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 572 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 18665724897 and 18665724906.

It is not an unprimeable number, because it can be changed into a prime (18665724967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11471667 + ... + 11473293.

It is an arithmetic number, because the mean of its divisors is an integer number (229333104).

Almost surely, 2^18665724960 is an apocalyptic number.

18665724960 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 18665724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33023966976).

18665724960 is an abundant number, since it is smaller than the sum of its proper divisors (47382208992).

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

18665724960 is a wasteful number, since it uses less digits than its factorization.

18665724960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 18665724960 in words is "eighteen billion, six hundred sixty-five million, seven hundred twenty-four thousand, nine hundred sixty".