6724435968 has 210 divisors, whose sum is σ = 20199282684. Its totient is φ = 2237497344.

The previous prime is 6724435951. The next prime is 6724436041. The reversal of 6724435968 is 8695344276.

6724435968 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 43 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11943655 + ... + 11944217.

Almost surely, 2^6724435968 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 6724435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099641342).

6724435968 is an abundant number, since it is smaller than the sum of its proper divisors (13474846716).

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

6724435968 is an frugal number, since it uses more digits than its factorization.

6724435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 568 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 6724435968 is about 82002.6582983747. The cubic root of 6724435968 is about 1887.4927297529.

The spelling of 6724435968 in words is "six billion, seven hundred twenty-four million, four hundred thirty-five thousand, nine hundred sixty-eight".