382789004813280 has 720 divisors, whose sum is σ = 1466332015745520. Its totient is φ = 93999879806976.

The previous prime is 382789004813239. The next prime is 382789004813351. The reversal of 382789004813280 is 82318400987283.

382789004813280 is a `hidden beast` number, since 3 + 8 + 2 + 78 + 9 + 0 + 0 + 481 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 917502004 + ... + 917919116.

It is an arithmetic number, because the mean of its divisors is an integer number (2036572244091).

Almost surely, 2^{382789004813280} is an apocalyptic number.

382789004813280 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 382789004813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733166007872760).

382789004813280 is an abundant number, since it is smaller than the sum of its proper divisors (1083543010932240).

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

382789004813280 is a wasteful number, since it uses less digits than its factorization.

382789004813280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417585 (or 417555 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 382789004813280 in words is "three hundred eighty-two trillion, seven hundred eighty-nine billion, four million, eight hundred thirteen thousand, two hundred eighty".