6468130320 has 80 divisors (see below), whose sum is σ = 20209182720. Its totient is φ = 1711245312.

The previous prime is 6468130307. The next prime is 6468130337. The reversal of 6468130320 is 230318646.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 75625 + ... + 136584.

It is an arithmetic number, because the mean of its divisors is an integer number (252614784).

Almost surely, 2^6468130320 is an apocalyptic number.

6468130320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6468130320 is an abundant number, since it is smaller than the sum of its proper divisors (13741052400).

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

6468130320 is a wasteful number, since it uses less digits than its factorization.

6468130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212352 (or 212346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6468130320 is about 80424.6872545986. The cubic root of 6468130320 is about 1863.2004789486.

Adding to 6468130320 its reverse (230318646), we get a palindrome (6698448966).

The spelling of 6468130320 in words is "six billion, four hundred sixty-eight million, one hundred thirty thousand, three hundred twenty".