6724508728 has 192 divisors, whose sum is σ = 16119280800. Its totient is φ = 2619993600.

The previous prime is 6724508711. The next prime is 6724508741. The reversal of 6724508728 is 8278054276.

It is a super-3 number, since 3×6724508728³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110237818 + ... + 110237878.

Almost surely, 2^6724508728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6724508728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059640400).

6724508728 is an abundant number, since it is smaller than the sum of its proper divisors (9394772072).

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

6724508728 is a wasteful number, since it uses less digits than its factorization.

6724508728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 6724508728 is about 82003.1019413290. The cubic root of 6724508728 is about 1887.4995374354.

The spelling of 6724508728 in words is "six billion, seven hundred twenty-four million, five hundred eight thousand, seven hundred twenty-eight".