6468621264 has 120 divisors (see below), whose sum is σ = 20722066560. Its totient is φ = 1845252864.

The previous prime is 6468621239. The next prime is 6468621337. The reversal of 6468621264 is 4621268646.

6468621264 is a `hidden beast` number, since 6 + 468 + 62 + 126 + 4 = 666.

It is a super-2 number, since 2×6468621264² = 83686122114145915392, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677677 + ... + 687155.

It is an arithmetic number, because the mean of its divisors is an integer number (172683888).

Almost surely, 2^6468621264 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 6468621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361033280).

6468621264 is an abundant number, since it is smaller than the sum of its proper divisors (14253445296).

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

6468621264 is a wasteful number, since it uses less digits than its factorization.

6468621264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10168 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 6468621264 is about 80427.7393938186. The cubic root of 6468621264 is about 1863.2476179676.

The spelling of 6468621264 in words is "six billion, four hundred sixty-eight million, six hundred twenty-one thousand, two hundred sixty-four".