6468480 has 96 divisors (see below), whose sum is σ = 22356360. Its totient is φ = 1723392.

The previous prime is 6468463. The next prime is 6468481. The reversal of 6468480 is 848646.

6468480 is a `hidden beast` number, since 646 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5199 + ... + 6321.

Almost surely, 2^6468480 is an apocalyptic number.

6468480 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 6468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178180).

6468480 is an abundant number, since it is smaller than the sum of its proper divisors (15887880).

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

6468480 is a wasteful number, since it uses less digits than its factorization.

6468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6468480 is about 2543.3206640139. The cubic root of 6468480 is about 186.3234054452.

The spelling of 6468480 in words is "six million, four hundred sixty-eight thousand, four hundred eighty".