180406743072 has 96 divisors (see below), whose sum is σ = 485388288000. Its totient is φ = 58650617088.

The previous prime is 180406743029. The next prime is 180406743109. The reversal of 180406743072 is 270347604081.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593929 + ... + 844727.

It is an arithmetic number, because the mean of its divisors is an integer number (5056128000).

Almost surely, 2^180406743072 is an apocalyptic number.

180406743072 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 180406743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242694144000).

180406743072 is an abundant number, since it is smaller than the sum of its proper divisors (304981544928).

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

180406743072 is a wasteful number, since it uses less digits than its factorization.

180406743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250998 (or 250990 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 180406743072 in words is "one hundred eighty billion, four hundred six million, seven hundred forty-three thousand, seventy-two".