382818078720 has 1872 divisors, whose sum is σ = 1764339827328. Its totient is φ = 77396705280.

The previous prime is 382818078679. The next prime is 382818078733. The reversal of 382818078720 is 27870818283.

382818078720 is a `hidden beast` number, since 382 + 8 + 180 + 7 + 87 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10346434542 + ... + 10346434578.

It is an arithmetic number, because the mean of its divisors is an integer number (942489224).

Almost surely, 2^382818078720 is an apocalyptic number.

382818078720 is a gapful number since it is divisible by the number (30) 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 382818078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882169913664).

382818078720 is an abundant number, since it is smaller than the sum of its proper divisors (1381521748608).

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

382818078720 is an frugal number, since it uses more digits than its factorization.

382818078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 382818078720 in words is "three hundred eighty-two billion, eight hundred eighteen million, seventy-eight thousand, seven hundred twenty".