724128768 has 176 divisors, whose sum is σ = 2340457920. Its totient is φ = 219340800.

The previous prime is 724128767. The next prime is 724128781. The reversal of 724128768 is 867821427.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724128761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302938 + ... + 305318.

Almost surely, 2^724128768 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 724128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170228960).

724128768 is an abundant number, since it is smaller than the sum of its proper divisors (1616329152).

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

724128768 is a wasteful number, since it uses less digits than its factorization.

724128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2397 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 724128768 is about 26909.6408002783. The cubic root of 724128768 is about 897.9908961169.

The spelling of 724128768 in words is "seven hundred twenty-four million, one hundred twenty-eight thousand, seven hundred sixty-eight".