6468582120 has 640 divisors, whose sum is σ = 26765907840. Its totient is φ = 1232824320.

The previous prime is 6468582103. The next prime is 6468582157. The reversal of 6468582120 is 212858646.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41201082 + ... + 41201238.

It is an arithmetic number, because the mean of its divisors is an integer number (41821731).

Almost surely, 2^6468582120 is an apocalyptic number.

6468582120 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 6468582120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382953920).

6468582120 is an abundant number, since it is smaller than the sum of its proper divisors (20297325720).

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

6468582120 is a wasteful number, since it uses less digits than its factorization.

6468582120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 6468582120 is about 80427.4960445742. The cubic root of 6468582120 is about 1863.2438595617.

The spelling of 6468582120 in words is "six billion, four hundred sixty-eight million, five hundred eighty-two thousand, one hundred twenty".