180449428320 has 672 divisors, whose sum is σ = 755774349120. Its totient is φ = 39818096640.

The previous prime is 180449428307. The next prime is 180449428343. The reversal of 180449428320 is 23824944081.

180449428320 is a `hidden beast` number, since 1 + 80 + 4 + 494 + 2 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23674110 + ... + 23681730.

It is an arithmetic number, because the mean of its divisors is an integer number (1124664210).

Almost surely, 2^180449428320 is an apocalyptic number.

180449428320 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 180449428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377887174560).

180449428320 is an abundant number, since it is smaller than the sum of its proper divisors (575324920800).

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

180449428320 is an equidigital number, since it uses as much as digits as its factorization.

180449428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 180449428320 in words is "one hundred eighty billion, four hundred forty-nine million, four hundred twenty-eight thousand, three hundred twenty".