6464313544 has 96 divisors (see below), whose sum is σ = 13525361640. Its totient is φ = 2893363200.

The previous prime is 6464313523. The next prime is 6464313601. The reversal of 6464313544 is 4453134646.

It can be written as a sum of positive squares in 12 ways, for example, as 3435132100 + 3029181444 = 58610^2 + 55038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6464313497 and 6464313506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15354454 + ... + 15354874.

Almost surely, 2^6464313544 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 6464313544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762680820).

6464313544 is an abundant number, since it is smaller than the sum of its proper divisors (7061048096).

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

6464313544 is a wasteful number, since it uses less digits than its factorization.

6464313544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its digits is 414720, while the sum is 40.

The square root of 6464313544 is about 80400.9548699516. The cubic root of 6464313544 is about 1862.8339218051.

It can be divided in two parts, 64643 and 13544, that added together give a palindrome (78187).

The spelling of 6464313544 in words is "six billion, four hundred sixty-four million, three hundred thirteen thousand, five hundred forty-four".