6419468160 has 512 divisors, whose sum is σ = 26375731200. Its totient is φ = 1445216256.

The previous prime is 6419468147. The next prime is 6419468177. The reversal of 6419468160 is 618649146.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8829717 + ... + 8830443.

It is an arithmetic number, because the mean of its divisors is an integer number (51515100).

Almost surely, 2^6419468160 is an apocalyptic number.

6419468160 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 6419468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187865600).

6419468160 is an abundant number, since it is smaller than the sum of its proper divisors (19956263040).

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

6419468160 is a wasteful number, since it uses less digits than its factorization.

6419468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6419468160 is about 80121.5836089128. The cubic root of 6419468160 is about 1858.5161943478.

The spelling of 6419468160 in words is "six billion, four hundred nineteen million, four hundred sixty-eight thousand, one hundred sixty".