384365568720 has 240 divisors, whose sum is σ = 1393820343360. Its totient is φ = 87363698688.

The previous prime is 384365568709. The next prime is 384365568733. The reversal of 384365568720 is 27865563483.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013744 + ... + 2196336.

It is an arithmetic number, because the mean of its divisors is an integer number (5807584764).

Almost surely, 2^384365568720 is an apocalyptic number.

384365568720 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 384365568720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696910171680).

384365568720 is an abundant number, since it is smaller than the sum of its proper divisors (1009454774640).

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

384365568720 is a wasteful number, since it uses less digits than its factorization.

384365568720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182802 (or 182789 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 384365568720 in words is "three hundred eighty-four billion, three hundred sixty-five million, five hundred sixty-eight thousand, seven hundred twenty".