20432205936 has 240 divisors, whose sum is σ = 60585420896. Its totient is φ = 6664716288.

The previous prime is 20432205931. The next prime is 20432205977. The reversal of 20432205936 is 63950223402.

It is a happy number.

20432205936 is a `hidden beast` number, since 2 + 0 + 43 + 2 + 20 + 593 + 6 = 666.

It is a super-2 number, since 2×20432205936² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20432205936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20432205931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54777846 + ... + 54778218.

Almost surely, 2^20432205936 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 20432205936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30292710448).

20432205936 is an abundant number, since it is smaller than the sum of its proper divisors (40153214960).

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

20432205936 is a wasteful number, since it uses less digits than its factorization.

20432205936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20432205936 in words is "twenty billion, four hundred thirty-two million, two hundred five thousand, nine hundred thirty-six".