20644008102432 has 576 divisors, whose sum is σ = 69344082872064. Its totient is φ = 5743281438720.

The previous prime is 20644008102407. The next prime is 20644008102563. The reversal of 20644008102432 is 23420180044602.

20644008102432 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 400 + 8 + 1 + 0 + 243 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10235005488 + ... + 10235007504.

It is an arithmetic number, because the mean of its divisors is an integer number (120389032764).

Almost surely, 2^{20644008102432} is an apocalyptic number.

20644008102432 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 20644008102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34672041436032).

20644008102432 is an abundant number, since it is smaller than the sum of its proper divisors (48700074769632).

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

20644008102432 is a wasteful number, since it uses less digits than its factorization.

20644008102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20644008102432 in words is "twenty trillion, six hundred forty-four billion, eight million, one hundred two thousand, four hundred thirty-two".