6384475669504 has 55 divisors (see below), whose sum is σ = 12808297629835. Its totient is φ = 3180877557760.

The previous prime is 6384475669487. The next prime is 6384475669513. The reversal of 6384475669504 is 4059665744836.

It is a happy number.

The square root of 6384475669504 is 2526752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 789169275904 + 5595306393600 = 888352^2 + 2365440^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1124.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6384475669504.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 22720553844 + ... + 22720554124.

Almost surely, 2^{6384475669504} is an apocalyptic number.

6384475669504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6384475669504 is the 2526752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6384475669504

6384475669504 is an abundant number, since it is smaller than the sum of its proper divisors (6423821960331).

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

6384475669504 is an frugal number, since it uses more digits than its factorization.

6384475669504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 67.

The spelling of 6384475669504 in words is "six trillion, three hundred eighty-four billion, four hundred seventy-five million, six hundred sixty-nine thousand, five hundred four".