6484430332800 has 2304 divisors, whose sum is σ = 30081881779200. Its totient is φ = 1333491793920.

The previous prime is 6484430332781. The next prime is 6484430332847. The reversal of 6484430332800 is 82330344846.

6484430332800 is a `hidden beast` number, since 64 + 8 + 4 + 4 + 303 + 3 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4020104794 + ... + 4020106406.

It is an arithmetic number, because the mean of its divisors is an integer number (13056372300).

Almost surely, 2^{6484430332800} is an apocalyptic number.

6484430332800 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 6484430332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040940889600).

6484430332800 is an abundant number, since it is smaller than the sum of its proper divisors (23597451446400).

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

6484430332800 is a wasteful number, since it uses less digits than its factorization.

6484430332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 6484430332800 in words is "six trillion, four hundred eighty-four billion, four hundred thirty million, three hundred thirty-two thousand, eight hundred".