180742254336 has 720 divisors, whose sum is σ = 634831243200. Its totient is φ = 50084904960.

The previous prime is 180742254317. The next prime is 180742254349. The reversal of 180742254336 is 633452247081.

180742254336 is a `hidden beast` number, since 1 + 8 + 0 + 74 + 2 + 2 + 543 + 36 = 666.

180742254336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×180742254336³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180742254291 and 180742254300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1213035190 + ... + 1213035338.

It is an arithmetic number, because the mean of its divisors is an integer number (881710060).

Almost surely, 2^180742254336 is an apocalyptic number.

180742254336 is a gapful number since it is divisible by the number (16) 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 180742254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317415621600).

180742254336 is an abundant number, since it is smaller than the sum of its proper divisors (454088988864).

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

180742254336 is a wasteful number, since it uses less digits than its factorization.

180742254336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 180742254336 in words is "one hundred eighty billion, seven hundred forty-two million, two hundred fifty-four thousand, three hundred thirty-six".