180163866240 has 384 divisors, whose sum is σ = 642427269120. Its totient is φ = 46495088640.

The previous prime is 180163866227. The next prime is 180163866241. The reversal of 180163866240 is 42668361081.

180163866240 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 638 + 6 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×180163866240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (180163866241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29989317 + ... + 29995323.

It is an arithmetic number, because the mean of its divisors is an integer number (1672987680).

Almost surely, 2^180163866240 is an apocalyptic number.

180163866240 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 180163866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321213634560).

180163866240 is an abundant number, since it is smaller than the sum of its proper divisors (462263402880).

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

180163866240 is a wasteful number, since it uses less digits than its factorization.

180163866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 180163866240 in words is "one hundred eighty billion, one hundred sixty-three million, eight hundred sixty-six thousand, two hundred forty".