6348424320 has 576 divisors, whose sum is σ = 25903463040. Its totient is φ = 1428295680.

The previous prime is 6348424301. The next prime is 6348424321. The reversal of 6348424320 is 234248436.

It is a tau number, because it is divible by the number of its divisors (576).

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 (6348424321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23425785 + ... + 23426055.

It is an arithmetic number, because the mean of its divisors is an integer number (44971290).

Almost surely, 2^6348424320 is an apocalyptic number.

6348424320 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 6348424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951731520).

6348424320 is an abundant number, since it is smaller than the sum of its proper divisors (19555038720).

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

6348424320 is a wasteful number, since it uses less digits than its factorization.

6348424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6348424320 is about 79676.9999435220. Note that the first 4 decimals coincide. The cubic root of 6348424320 is about 1851.6347196805.

The spelling of 6348424320 in words is "six billion, three hundred forty-eight million, four hundred twenty-four thousand, three hundred twenty".