20064844800 has 2112 divisors, whose sum is σ = 102343449600. Its totient is φ = 3715891200.

The previous prime is 20064844799. The next prime is 20064844823. The reversal of 20064844800 is 844846002.

20064844800 is a `hidden beast` number, since 2 + 0 + 0 + 648 + 4 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 691891186 + ... + 691891214.

Almost surely, 2^20064844800 is an apocalyptic number.

20064844800 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 20064844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171724800).

20064844800 is an abundant number, since it is smaller than the sum of its proper divisors (82278604800).

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

20064844800 is a wasteful number, since it uses less digits than its factorization.

20064844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20064844800 in words is "twenty billion, sixty-four million, eight hundred forty-four thousand, eight hundred".