6443219200704 has 448 divisors, whose sum is σ = 20915192632320. Its totient is φ = 1722589102080.

The previous prime is 6443219200631. The next prime is 6443219200753. The reversal of 6443219200704 is 4070029123446.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1008483142 + ... + 1008489530.

It is an arithmetic number, because the mean of its divisors is an integer number (46685697840).

Almost surely, 2^{6443219200704} is an apocalyptic number.

6443219200704 is a gapful number since it is divisible by the number (64) 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 6443219200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10457596316160).

6443219200704 is an abundant number, since it is smaller than the sum of its proper divisors (14471973431616).

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

6443219200704 is a wasteful number, since it uses less digits than its factorization.

6443219200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 6443219200704 in words is "six trillion, four hundred forty-three billion, two hundred nineteen million, two hundred thousand, seven hundred four".