6724581120 has 360 divisors, whose sum is σ = 24396039360. Its totient is φ = 1768366080.

The previous prime is 6724581119. The next prime is 6724581173. The reversal of 6724581120 is 211854276.

6724581120 is a `hidden beast` number, since 6 + 72 + 4 + 581 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8190310 + ... + 8191130.

It is an arithmetic number, because the mean of its divisors is an integer number (67766776).

Almost surely, 2^6724581120 is an apocalyptic number.

6724581120 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 6724581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198019680).

6724581120 is an abundant number, since it is smaller than the sum of its proper divisors (17671458240).

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

6724581120 is an equidigital number, since it uses as much as digits as its factorization.

6724581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6724581120 is about 82003.5433380778. The cubic root of 6724581120 is about 1887.5063106378.

The spelling of 6724581120 in words is "six billion, seven hundred twenty-four million, five hundred eighty-one thousand, one hundred twenty".