20872764432 has 240 divisors, whose sum is σ = 64930844160. Its totient is φ = 6219113472.

The previous prime is 20872764401. The next prime is 20872764439. The reversal of 20872764432 is 23446727802.

20872764432 is a `hidden beast` number, since 208 + 7 + 2 + 7 + 6 + 4 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (20872764439) 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, 7836733 + ... + 7839395.

It is an arithmetic number, because the mean of its divisors is an integer number (270545184).

Almost surely, 2^20872764432 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 20872764432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32465422080).

20872764432 is an abundant number, since it is smaller than the sum of its proper divisors (44058079728).

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

20872764432 is a wasteful number, since it uses less digits than its factorization.

20872764432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 20872764432 in words is "twenty billion, eight hundred seventy-two million, seven hundred sixty-four thousand, four hundred thirty-two".