382169584720 has 960 divisors, whose sum is σ = 1215922176000. Its totient is φ = 111394483200.

The previous prime is 382169584717. The next prime is 382169584739. The reversal of 382169584720 is 27485961283.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 191 ways as a sum of consecutive naturals, for example, 4837589641 + ... + 4837589719.

It is an arithmetic number, because the mean of its divisors is an integer number (1266585600).

It is a 1-persistent number, because it is pandigital, but 2⋅382169584720 = 764339169440 is not.

Almost surely, 2^382169584720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382169584720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607961088000).

382169584720 is an abundant number, since it is smaller than the sum of its proper divisors (833752591280).

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

382169584720 is a wasteful number, since it uses less digits than its factorization.

382169584720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 382169584720 in words is "three hundred eighty-two billion, one hundred sixty-nine million, five hundred eighty-four thousand, seven hundred twenty".