180353749632 has 192 divisors, whose sum is σ = 590061464640. Its totient is φ = 48498401280.

The previous prime is 180353749627. The next prime is 180353749651. The reversal of 180353749632 is 236947353081.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37957 + ... + 601787.

It is an arithmetic number, because the mean of its divisors is an integer number (3073236795).

It is a 1-persistent number, because it is pandigital, but 2⋅180353749632 = 360707499264 is not.

Almost surely, 2^180353749632 is an apocalyptic number.

180353749632 is a gapful number since it is divisible by the number (12) 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 180353749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295030732320).

180353749632 is an abundant number, since it is smaller than the sum of its proper divisors (409707715008).

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

180353749632 is a wasteful number, since it uses less digits than its factorization.

180353749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563879 (or 563860 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 180353749632 in words is "one hundred eighty billion, three hundred fifty-three million, seven hundred forty-nine thousand, six hundred thirty-two".