6465352203648 has 640 divisors, whose sum is σ = 21431241216000. Its totient is φ = 1922218242048.

The previous prime is 6465352203641. The next prime is 6465352203659. The reversal of 6465352203648 is 8463022535646.

It is a happy number.

6465352203648 is a `hidden beast` number, since 6 + 4 + 6 + 53 + 5 + 220 + 364 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6465352203594 and 6465352203603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6465352203641) 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 79 ways as a sum of consecutive naturals, for example, 500446533 + ... + 500459451.

It is an arithmetic number, because the mean of its divisors is an integer number (33486314400).

Almost surely, 2^{6465352203648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6465352203648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10715620608000).

6465352203648 is an abundant number, since it is smaller than the sum of its proper divisors (14965889012352).

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

6465352203648 is a wasteful number, since it uses less digits than its factorization.

6465352203648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13084 (or 13063 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 6465352203648 in words is "six trillion, four hundred sixty-five billion, three hundred fifty-two million, two hundred three thousand, six hundred forty-eight".