6468653856 has 144 divisors (see below), whose sum is σ = 19975727520. Its totient is φ = 1827302400.

The previous prime is 6468653831. The next prime is 6468653897. The reversal of 6468653856 is 6583568646.

Its product of digits (24883200) is a multiple of the sum of its prime divisors (15552).

It is a junction number, because it is equal to n+sod(n) for n = 6468653796 and 6468653805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410931 + ... + 426381.

It is an arithmetic number, because the mean of its divisors is an integer number (138720330).

Almost surely, 2^6468653856 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 6468653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9987863760).

6468653856 is an abundant number, since it is smaller than the sum of its proper divisors (13507073664).

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

6468653856 is a wasteful number, since it uses less digits than its factorization.

6468653856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15567 (or 15552 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The square root of 6468653856 is about 80427.9420102243. The cubic root of 6468653856 is about 1863.2507472725.

The spelling of 6468653856 in words is "six billion, four hundred sixty-eight million, six hundred fifty-three thousand, eight hundred fifty-six".