6465435648 has 384 divisors, whose sum is σ = 21511526400. Its totient is φ = 1684537344.

The previous prime is 6465435637. The next prime is 6465435661. The reversal of 6465435648 is 8465345646.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 6465435648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27051913 + ... + 27052151.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 2^6465435648 is an apocalyptic number.

6465435648 is a gapful number since it is divisible by the number (68) 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 6465435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755763200).

6465435648 is an abundant number, since it is smaller than the sum of its proper divisors (15046090752).

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

6465435648 is a wasteful number, since it uses less digits than its factorization.

6465435648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The square root of 6465435648 is about 80407.9327429825. The cubic root of 6465435648 is about 1862.9417018731.

The spelling of 6465435648 in words is "six billion, four hundred sixty-five million, four hundred thirty-five thousand, six hundred forty-eight".