6504325822080 has 192 divisors, whose sum is σ = 22515173296200. Its totient is φ = 1730245459968.

The previous prime is 6504325822063. The next prime is 6504325822081. The reversal of 6504325822080 is 802285234056.

6504325822080 is a `hidden beast` number, since 6 + 5 + 0 + 43 + 2 + 582 + 20 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5438261312064 + 1066064510016 = 2332008^2 + 1032504^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (6504325822081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 975372 + ... + 3736308.

Almost surely, 2^{6504325822080} is an apocalyptic number.

6504325822080 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 6504325822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257586648100).

6504325822080 is an abundant number, since it is smaller than the sum of its proper divisors (16010847474120).

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

6504325822080 is a wasteful number, since it uses less digits than its factorization.

6504325822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761371 (or 2761356 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 6504325822080 in words is "six trillion, five hundred four billion, three hundred twenty-five million, eight hundred twenty-two thousand, eighty".