384788664000 has 1344 divisors, whose sum is σ = 1559296327680. Its totient is φ = 92839219200.

The previous prime is 384788663989. The next prime is 384788664061. The reversal of 384788664000 is 466887483.

384788664000 is a `hidden beast` number, since 38 + 478 + 86 + 64 + 0 + 0 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 3029831937 + ... + 3029832063.

It is an arithmetic number, because the mean of its divisors is an integer number (1160190720).

Almost surely, 2^384788664000 is an apocalyptic number.

384788664000 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 384788664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779648163840).

384788664000 is an abundant number, since it is smaller than the sum of its proper divisors (1174507663680).

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

384788664000 is a wasteful number, since it uses less digits than its factorization.

384788664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 384788664000 in words is "three hundred eighty-four billion, seven hundred eighty-eight million, six hundred sixty-four thousand".