384265561680 has 2880 divisors, whose sum is σ = 1903078195200. Its totient is φ = 71327692800.

The previous prime is 384265561679. The next prime is 384265561681. The reversal of 384265561680 is 86165562483.

384265561680 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 6 + 556 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (384265561679) and next prime (384265561681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384265561681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12395663265 + ... + 12395663295.

It is an arithmetic number, because the mean of its divisors is an integer number (660791040).

Almost surely, 2^384265561680 is an apocalyptic number.

384265561680 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 384265561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951539097600).

384265561680 is an abundant number, since it is smaller than the sum of its proper divisors (1518812633520).

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

384265561680 is a wasteful number, since it uses less digits than its factorization.

384265561680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 384265561680 in words is "three hundred eighty-four billion, two hundred sixty-five million, five hundred sixty-one thousand, six hundred eighty".