20820636480 has 224 divisors, whose sum is σ = 75640631040. Its totient is φ = 4753244160.

The previous prime is 20820636479. The next prime is 20820636481. The reversal of 20820636480 is 8463602802.

It is an interprime number because it is at equal distance from previous prime (20820636479) and next prime (20820636481).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20820636481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8257620 + ... + 8260140.

Almost surely, 2^20820636480 is an apocalyptic number.

20820636480 is a gapful number since it is divisible by the number (20) 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 20820636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37820315520).

20820636480 is an abundant number, since it is smaller than the sum of its proper divisors (54819994560).

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

20820636480 is a wasteful number, since it uses less digits than its factorization.

20820636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 20820636480 in words is "twenty billion, eight hundred twenty million, six hundred thirty-six thousand, four hundred eighty".