6445008484320 has 384 divisors, whose sum is σ = 23750719534080. Its totient is φ = 1438333747200.

The previous prime is 6445008484297. The next prime is 6445008484333. The reversal of 6445008484320 is 234848005446.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6445008484320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463629370 + ... + 463643270.

It is an arithmetic number, because the mean of its divisors is an integer number (61850832120).

Almost surely, 2^{6445008484320} is an apocalyptic number.

6445008484320 is a gapful number since it is divisible by the number (60) 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 6445008484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11875359767040).

6445008484320 is an abundant number, since it is smaller than the sum of its proper divisors (17305711049760).

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

6445008484320 is a wasteful number, since it uses less digits than its factorization.

6445008484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 6445008484320 in words is "six trillion, four hundred forty-five billion, eight million, four hundred eighty-four thousand, three hundred twenty".