6564109356480 has 448 divisors, whose sum is σ = 22943478136320. Its totient is φ = 1580185829376.

The previous prime is 6564109356443. The next prime is 6564109356559. The reversal of 6564109356480 is 846539014656.

It is a self number, because there is not a number n which added to its sum of digits gives 6564109356480.

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 63 ways as a sum of consecutive naturals, for example, 116198002 + ... + 116254478.

It is an arithmetic number, because the mean of its divisors is an integer number (51213120840).

Almost surely, 2^{6564109356480} is an apocalyptic number.

6564109356480 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 6564109356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11471739068160).

6564109356480 is an abundant number, since it is smaller than the sum of its proper divisors (16379368779840).

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

6564109356480 is a wasteful number, since it uses less digits than its factorization.

6564109356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56716 (or 56706 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 6564109356480 in words is "six trillion, five hundred sixty-four billion, one hundred nine million, three hundred fifty-six thousand, four hundred eighty".