6468197120 has 576 divisors, whose sum is σ = 20909629440. Its totient is φ = 1857945600.

The previous prime is 6468197101. The next prime is 6468197137. The reversal of 6468197120 is 217918646.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 63 ways as a sum of consecutive naturals, for example, 88605404 + ... + 88605476.

It is an arithmetic number, because the mean of its divisors is an integer number (36301440).

Almost surely, 2^6468197120 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 6468197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10454814720).

6468197120 is an abundant number, since it is smaller than the sum of its proper divisors (14441432320).

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

6468197120 is a wasteful number, since it uses less digits than its factorization.

6468197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 6468197120 is about 80425.1025488933. The cubic root of 6468197120 is about 1863.2068930311.

The spelling of 6468197120 in words is "six billion, four hundred sixty-eight million, one hundred ninety-seven thousand, one hundred twenty".