6468813120 has 224 divisors, whose sum is σ = 25606711296. Its totient is φ = 1344153600.

The previous prime is 6468813073. The next prime is 6468813139. The reversal of 6468813120 is 213188646.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×6468813120³ (a number of 30 digits) contains 333 as substring.

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, 30165 + ... + 117675.

Almost surely, 2^6468813120 is an apocalyptic number.

6468813120 is a gapful number since it is divisible by the number (60) 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 6468813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803355648).

6468813120 is an abundant number, since it is smaller than the sum of its proper divisors (19137898176).

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

6468813120 is a wasteful number, since it uses less digits than its factorization.

6468813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87549 (or 87539 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6468813120 is about 80428.9321077932. The cubic root of 6468813120 is about 1863.2660387761.

The spelling of 6468813120 in words is "six billion, four hundred sixty-eight million, eight hundred thirteen thousand, one hundred twenty".