6724000000 has 189 divisors, whose sum is σ = 17196127543. Its totient is φ = 2624000000.

The previous prime is 6723999937. The next prime is 6724000009. The reversal of 6724000000 is 4276.

The square root of 6724000000 is 82000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 2025720064 + 4698279936 = 45008^2 + 68544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6724000009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 163999980 + ... + 164000020.

Almost surely, 2^6724000000 is an apocalyptic number.

6724000000 is the 82000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6724000000

6724000000 is an abundant number, since it is smaller than the sum of its proper divisors (10472127543).

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

6724000000 is an frugal number, since it uses more digits than its factorization.

6724000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The cubic root of 6724000000 is about 1887.4519380186.

Adding to 6724000000 its reverse (4276), we get a palindrome (6724004276).

The spelling of 6724000000 in words is "six billion, seven hundred twenty-four million", and thus it is an aban number.