384305715984960 has 4480 divisors, whose sum is σ = 1799327960432640. Its totient is φ = 75545395200000.

The previous prime is 384305715984919. The next prime is 384305715985013. The reversal of 384305715984960 is 69489517503483.

384305715984960 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 0 + 571 + 5 + 9 + 8 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 556158778215 + ... + 556158778905.

Almost surely, 2^{384305715984960} is an apocalyptic number.

384305715984960 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 384305715984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899663980216320).

384305715984960 is an abundant number, since it is smaller than the sum of its proper divisors (1415022244447680).

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

384305715984960 is a wasteful number, since it uses less digits than its factorization.

384305715984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 384305715984960 in words is "three hundred eighty-four trillion, three hundred five billion, seven hundred fifteen million, nine hundred eighty-four thousand, nine hundred sixty".