6468396480 has 896 divisors, whose sum is σ = 29631436800. Its totient is φ = 1289945088.

The previous prime is 6468396463. The next prime is 6468396491. The reversal of 6468396480 is 846938646.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14938344 + ... + 14938776.

It is an arithmetic number, because the mean of its divisors is an integer number (33070800).

Almost surely, 2^6468396480 is an apocalyptic number.

6468396480 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 6468396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815718400).

6468396480 is an abundant number, since it is smaller than the sum of its proper divisors (23163040320).

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

6468396480 is a wasteful number, since it uses less digits than its factorization.

6468396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 6468396480 is about 80426.3419533675. The cubic root of 6468396480 is about 1863.2260351559.

The spelling of 6468396480 in words is "six billion, four hundred sixty-eight million, three hundred ninety-six thousand, four hundred eighty".