20322640800 has 720 divisors, whose sum is σ = 92422959552. Its totient is φ = 4221849600.

The previous prime is 20322640783. The next prime is 20322640843. The reversal of 20322640800 is 804622302.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 4987564 + ... + 4991636.

Almost surely, 2^20322640800 is an apocalyptic number.

20322640800 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 20322640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46211479776).

20322640800 is an abundant number, since it is smaller than the sum of its proper divisors (72100318752).

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

20322640800 is a wasteful number, since it uses less digits than its factorization.

20322640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20322640800 in words is "twenty billion, three hundred twenty-two million, six hundred forty thousand, eight hundred".