8003023667200 has 432 divisors, whose sum is σ = 20642440049280. Its totient is φ = 3075473408000.

The previous prime is 8003023667141. The next prime is 8003023667201. The reversal of 8003023667200 is 27663203008.

It is a self number, because there is not a number n which added to its sum of digits gives 8003023667200.

It is not an unprimeable number, because it can be changed into a prime (8003023667201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9538764381 + ... + 9538765219.

It is an arithmetic number, because the mean of its divisors is an integer number (47783426040).

Almost surely, 2^{8003023667200} is an apocalyptic number.

8003023667200 is a gapful number since it is divisible by the number (80) 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 8003023667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321220024640).

8003023667200 is an abundant number, since it is smaller than the sum of its proper divisors (12639416382080).

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

8003023667200 is an frugal number, since it uses more digits than its factorization.

8003023667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 8003023667200 in words is "eight trillion, three billion, twenty-three million, six hundred sixty-seven thousand, two hundred".