384817664000 has 832 divisors, whose sum is σ = 1230609549312. Its totient is φ = 116637696000.

The previous prime is 384817663987. The next prime is 384817664047. The reversal of 384817664000 is 466718483.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1695231887 + ... + 1695232113.

It is an arithmetic number, because the mean of its divisors is an integer number (1479098016).

Almost surely, 2^384817664000 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 384817664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615304774656).

384817664000 is an abundant number, since it is smaller than the sum of its proper divisors (845791885312).

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

384817664000 is a wasteful number, since it uses less digits than its factorization.

384817664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 384817664000 in words is "three hundred eighty-four billion, eight hundred seventeen million, six hundred sixty-four thousand".