6468558000 has 160 divisors (see below), whose sum is σ = 20897091072. Its totient is φ = 1721440000.

The previous prime is 6468557957. The next prime is 6468558011. The reversal of 6468558000 is 8558646.

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, 4457275 + ... + 4458725.

Almost surely, 2^6468558000 is an apocalyptic number.

6468558000 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 6468558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448545536).

6468558000 is an abundant number, since it is smaller than the sum of its proper divisors (14428533072).

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

6468558000 is a wasteful number, since it uses less digits than its factorization.

6468558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 6468558000 is about 80427.3460957155. The cubic root of 6468558000 is about 1863.2415436757.

The spelling of 6468558000 in words is "six billion, four hundred sixty-eight million, five hundred fifty-eight thousand".