6464366818560 has 3240 divisors, whose sum is σ = 29837713946040. Its totient is φ = 1327613607936.

The previous prime is 6464366818519. The next prime is 6464366818571. The reversal of 6464366818560 is 658186634646.

6464366818560 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 3 + 6 + 68 + 1 + 8 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1260931359744 + 5203435458816 = 1122912^2 + 2281104^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 72633334996 + ... + 72633335084.

It is an arithmetic number, because the mean of its divisors is an integer number (9209170971).

Almost surely, 2^{6464366818560} is an apocalyptic number.

6464366818560 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 6464366818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918856973020).

6464366818560 is an abundant number, since it is smaller than the sum of its proper divisors (23373347127480).

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

6464366818560 is a wasteful number, since it uses less digits than its factorization.

6464366818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 6464366818560 in words is "six trillion, four hundred sixty-four billion, three hundred sixty-six million, eight hundred eighteen thousand, five hundred sixty".