6468346464 has 24 divisors (see below), whose sum is σ = 16979409720. Its totient is φ = 2156115456.

The previous prime is 6468346459. The next prime is 6468346477. The reversal of 6468346464 is 4646438646.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33689209 + ... + 33689400.

It is an arithmetic number, because the mean of its divisors is an integer number (707475405).

Almost surely, 2^6468346464 is an apocalyptic number.

It is an amenable number.

6468346464 is an abundant number, since it is smaller than the sum of its proper divisors (10511063256).

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

6468346464 is a wasteful number, since it uses less digits than its factorization.

6468346464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67378622 (or 67378614 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 51.

The square root of 6468346464 is about 80426.0310098665. The cubic root of 6468346464 is about 1863.2212327625.

The spelling of 6468346464 in words is "six billion, four hundred sixty-eight million, three hundred forty-six thousand, four hundred sixty-four".