384782448960 has 2016 divisors, whose sum is σ = 1775377094400. Its totient is φ = 75985330176.

The previous prime is 384782448959. The next prime is 384782448977. The reversal of 384782448960 is 69844287483.

384782448960 is a `hidden beast` number, since 3 + 8 + 4 + 78 + 24 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 4635933079 + ... + 4635933161.

It is an arithmetic number, because the mean of its divisors is an integer number (880643400).

Almost surely, 2^384782448960 is an apocalyptic number.

384782448960 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 384782448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887688547200).

384782448960 is an abundant number, since it is smaller than the sum of its proper divisors (1390594645440).

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

384782448960 is a wasteful number, since it uses less digits than its factorization.

384782448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 384782448960 in words is "three hundred eighty-four billion, seven hundred eighty-two million, four hundred forty-eight thousand, nine hundred sixty".