180823864320 has 352 divisors, whose sum is σ = 701040839040. Its totient is φ = 43835719680.

The previous prime is 180823864313. The next prime is 180823864379. The reversal of 180823864320 is 23468328081.

180823864320 is a `hidden beast` number, since 180 + 8 + 2 + 38 + 6 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1461184 + ... + 1580096.

Almost surely, 2^180823864320 is an apocalyptic number.

180823864320 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 180823864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350520419520).

180823864320 is an abundant number, since it is smaller than the sum of its proper divisors (520216974720).

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

180823864320 is a wasteful number, since it uses less digits than its factorization.

180823864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118958 (or 118934 counting only the distinct ones).

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

The spelling of 180823864320 in words is "one hundred eighty billion, eight hundred twenty-three million, eight hundred sixty-four thousand, three hundred twenty".