6720480 has 144 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 1649664.

The previous prime is 6720473. The next prime is 6720481. The reversal of 6720480 is 840276.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6720481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18541 + ... + 18899.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^6720480 is an apocalyptic number.

6720480 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 6720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

6720480 is an abundant number, since it is smaller than the sum of its proper divisors (18046080).

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

6720480 is a wasteful number, since it uses less digits than its factorization.

6720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6720480 is about 2592.3888597199. The cubic root of 6720480 is about 188.7122521476.

The spelling of 6720480 in words is "six million, seven hundred twenty thousand, four hundred eighty".