20384334432 has 576 divisors, whose sum is σ = 77271667200. Its totient is φ = 4934615040.

The previous prime is 20384334389. The next prime is 20384334473. The reversal of 20384334432 is 23443348302.

20384334432 is a `hidden beast` number, since 203 + 8 + 4 + 3 + 3 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52401694 + ... + 52402082.

It is an arithmetic number, because the mean of its divisors is an integer number (134152200).

Almost surely, 2^20384334432 is an apocalyptic number.

20384334432 is a gapful number since it is divisible by the number (22) 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 20384334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635833600).

20384334432 is an abundant number, since it is smaller than the sum of its proper divisors (56887332768).

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

20384334432 is a wasteful number, since it uses less digits than its factorization.

20384334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 20384334432 in words is "twenty billion, three hundred eighty-four million, three hundred thirty-four thousand, four hundred thirty-two".