6642720 has 144 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 1516032.

The previous prime is 6642709. The next prime is 6642763. The reversal of 6642720 is 272466.

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

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, 9751 + ... + 10409.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 2^6642720 is an apocalyptic number.

6642720 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 6642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

6642720 is an abundant number, since it is smaller than the sum of its proper divisors (19303200).

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

6642720 is a wasteful number, since it uses less digits than its factorization.

6642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6642720 is about 2577.3474736636. The cubic root of 6642720 is about 187.9815886602.

The spelling of 6642720 in words is "six million, six hundred forty-two thousand, seven hundred twenty".