20413328832 has 448 divisors, whose sum is σ = 68673472000. Its totient is φ = 5929417728.

The previous prime is 20413328821. The next prime is 20413328869. The reversal of 20413328832 is 23882331402.

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 63 ways as a sum of consecutive naturals, for example, 72131763 + ... + 72132045.

It is an arithmetic number, because the mean of its divisors is an integer number (153289000).

Almost surely, 2^20413328832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34336736000).

20413328832 is an abundant number, since it is smaller than the sum of its proper divisors (48260143168).

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

20413328832 is a wasteful number, since it uses less digits than its factorization.

20413328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20413328832 in words is "twenty billion, four hundred thirteen million, three hundred twenty-eight thousand, eight hundred thirty-two".