382447673568 has 576 divisors, whose sum is σ = 1183511347200. Its totient is φ = 116933207040.

The previous prime is 382447673567. The next prime is 382447673591. The reversal of 382447673568 is 865376744283.

382447673568 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 4 + 7 + 67 + 3 + 568 = 666.

Its product of digits (162570240) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382447673563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751422043 + ... + 2751422181.

It is an arithmetic number, because the mean of its divisors is an integer number (2054707200).

Almost surely, 2^382447673568 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 382447673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591755673600).

382447673568 is an abundant number, since it is smaller than the sum of its proper divisors (801063673632).

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

382447673568 is a wasteful number, since it uses less digits than its factorization.

382447673568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 382447673568 in words is "three hundred eighty-two billion, four hundred forty-seven million, six hundred seventy-three thousand, five hundred sixty-eight".