384645629520 has 240 divisors, whose sum is σ = 1327616402112. Its totient is φ = 99742095360.

The previous prime is 384645629509. The next prime is 384645629569. The reversal of 384645629520 is 25926546483.

384645629520 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 4 + 5 + 629 + 5 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9041419 + ... + 9083861.

Almost surely, 2^384645629520 is an apocalyptic number.

384645629520 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 384645629520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663808201056).

384645629520 is an abundant number, since it is smaller than the sum of its proper divisors (942970772592).

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

384645629520 is a wasteful number, since it uses less digits than its factorization.

384645629520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42810 (or 42801 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 384645629520 in words is "three hundred eighty-four billion, six hundred forty-five million, six hundred twenty-nine thousand, five hundred twenty".