180449837568 has 1920 divisors, whose sum is σ = 772150579200. Its totient is φ = 39016857600.

The previous prime is 180449837567. The next prime is 180449837621. The reversal of 180449837568 is 865738944081.

180449837568 is a `hidden beast` number, since 1 + 80 + 4 + 498 + 3 + 7 + 5 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (180449837567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2541546973 + ... + 2541547043.

It is an arithmetic number, because the mean of its divisors is an integer number (402161760).

Almost surely, 2^180449837568 is an apocalyptic number.

180449837568 is a gapful number since it is divisible by the number (18) 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 180449837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386075289600).

180449837568 is an abundant number, since it is smaller than the sum of its proper divisors (591700741632).

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

180449837568 is a wasteful number, since it uses less digits than its factorization.

180449837568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 180449837568 in words is "one hundred eighty billion, four hundred forty-nine million, eight hundred thirty-seven thousand, five hundred sixty-eight".