6468660000 has 720 divisors, whose sum is σ = 26220081888. Its totient is φ = 1568160000.

The previous prime is 6468659983. The next prime is 6468660073. The reversal of 6468660000 is 668646.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6468660000 is a `hidden beast` number, since 6 + 46 + 8 + 6 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 588059995 + ... + 588060005.

Almost surely, 2^6468660000 is an apocalyptic number.

6468660000 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 6468660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110040944).

6468660000 is an abundant number, since it is smaller than the sum of its proper divisors (19751421888).

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

6468660000 is an frugal number, since it uses more digits than its factorization.

6468660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6468660000 is about 80427.9802058960. The cubic root of 6468660000 is about 1863.2513371844.

The spelling of 6468660000 in words is "six billion, four hundred sixty-eight million, six hundred sixty thousand".