20964085632 has 640 divisors, whose sum is σ = 78435878400. Its totient is φ = 5419560960.

The previous prime is 20964085591. The next prime is 20964085679. The reversal of 20964085632 is 23658046902.

20964085632 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 4 + 0 + 8 + 5 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31715382 + ... + 31716042.

It is an arithmetic number, because the mean of its divisors is an integer number (122556060).

Almost surely, 2^20964085632 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 20964085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39217939200).

20964085632 is an abundant number, since it is smaller than the sum of its proper divisors (57471792768).

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

20964085632 is a wasteful number, since it uses less digits than its factorization.

20964085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20964085632 in words is "twenty billion, nine hundred sixty-four million, eighty-five thousand, six hundred thirty-two".