8008003644400 has 120 divisors (see below), whose sum is σ = 19272556321200. Its totient is φ = 3197657272320.

The previous prime is 8008003644383. The next prime is 8008003644401. The reversal of 8008003644400 is 44463008008.

It is a self number, because there is not a number n which added to its sum of digits gives 8008003644400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008003644401) 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, 688380984 + ... + 688392616.

It is an arithmetic number, because the mean of its divisors is an integer number (160604636010).

Almost surely, 2^{8008003644400} is an apocalyptic number.

8008003644400 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 8008003644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9636278160600).

8008003644400 is an abundant number, since it is smaller than the sum of its proper divisors (11264552676800).

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

8008003644400 is a wasteful number, since it uses less digits than its factorization.

8008003644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 8008003644400 in words is "eight trillion, eight billion, three million, six hundred forty-four thousand, four hundred".