20073484800 has 600 divisors, whose sum is σ = 78280369200. Its totient is φ = 5066219520.

The previous prime is 20073484763. The next prime is 20073484801. The reversal of 20073484800 is 848437002.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (20073484801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19698691 + ... + 19699709.

It is an arithmetic number, because the mean of its divisors is an integer number (130467282).

Almost surely, 2^20073484800 is an apocalyptic number.

20073484800 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 20073484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39140184600).

20073484800 is an abundant number, since it is smaller than the sum of its proper divisors (58206884400).

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

20073484800 is a wasteful number, since it uses less digits than its factorization.

20073484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20073484800 in words is "twenty billion, seventy-three million, four hundred eighty-four thousand, eight hundred".