384609382456320 has 2112 divisors, whose sum is σ = 1647504194319360. Its totient is φ = 80963356852224.

The previous prime is 384609382456309. The next prime is 384609382456363. The reversal of 384609382456320 is 23654283906483.

384609382456320 is a `hidden beast` number, since 3 + 8 + 4 + 60 + 9 + 3 + 8 + 2 + 4 + 563 + 2 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73440780742 + ... + 73440785978.

Almost surely, 2^{384609382456320} is an apocalyptic number.

384609382456320 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 384609382456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823752097159680).

384609382456320 is an abundant number, since it is smaller than the sum of its proper divisors (1262894811863040).

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

384609382456320 is a wasteful number, since it uses less digits than its factorization.

384609382456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 384609382456320 in words is "three hundred eighty-four trillion, six hundred nine billion, three hundred eighty-two million, four hundred fifty-six thousand, three hundred twenty".