20063580768 has 432 divisors, whose sum is σ = 75102116544. Its totient is φ = 5210231040.

The previous prime is 20063580751. The next prime is 20063580781. The reversal of 20063580768 is 86708536002.

20063580768 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 3 + 580 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4188871 + ... + 4193657.

It is an arithmetic number, because the mean of its divisors is an integer number (173847492).

Almost surely, 2^20063580768 is an apocalyptic number.

20063580768 is a gapful number since it is divisible by the number (28) 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 20063580768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551058272).

20063580768 is an abundant number, since it is smaller than the sum of its proper divisors (55038535776).

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

20063580768 is a wasteful number, since it uses less digits than its factorization.

20063580768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20063580768 in words is "twenty billion, sixty-three million, five hundred eighty thousand, seven hundred sixty-eight".