382643707776 has 128 divisors (see below), whose sum is σ = 1109080304640. Its totient is φ = 115923025920.

The previous prime is 382643707757. The next prime is 382643707811. The reversal of 382643707776 is 677707346283.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21081361 + ... + 21099503.

It is an arithmetic number, because the mean of its divisors is an integer number (8664689880).

Almost surely, 2^382643707776 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 382643707776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554540152320).

382643707776 is an abundant number, since it is smaller than the sum of its proper divisors (726436596864).

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

382643707776 is a wasteful number, since it uses less digits than its factorization.

382643707776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23164 (or 23152 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 60.

The spelling of 382643707776 in words is "three hundred eighty-two billion, six hundred forty-three million, seven hundred seven thousand, seven hundred seventy-six".