6404536320000 has 2400 divisors, whose sum is σ = 27515472230400. Its totient is φ = 1288175616000.

The previous prime is 6404536319989. The next prime is 6404536320023. The reversal of 6404536320000 is 236354046.

It is a tau number, because it is divible by the number of its divisors (2400).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81070079961 + ... + 81070080039.

It is an arithmetic number, because the mean of its divisors is an integer number (11464780096).

Almost surely, 2^{6404536320000} is an apocalyptic number.

6404536320000 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 6404536320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757736115200).

6404536320000 is an abundant number, since it is smaller than the sum of its proper divisors (21110935910400).

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

6404536320000 is an equidigital number, since it uses as much as digits as its factorization.

6404536320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 6404536320000 in words is "six trillion, four hundred four billion, five hundred thirty-six million, three hundred twenty thousand".