720741328128 has 504 divisors, whose sum is σ = 2285118661280. Its totient is φ = 226143498240.

The previous prime is 720741328123. The next prime is 720741328171. The reversal of 720741328128 is 821823147027.

720741328128 is a `hidden beast` number, since 7 + 207 + 413 + 2 + 8 + 1 + 28 = 666.

720741328128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720741328123) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 641799375 + ... + 641800497.

Almost surely, 2^720741328128 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 720741328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142559330640).

720741328128 is an abundant number, since it is smaller than the sum of its proper divisors (1564377333152).

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

720741328128 is a wasteful number, since it uses less digits than its factorization.

720741328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1328 counting only the distinct ones).

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

The spelling of 720741328128 in words is "seven hundred twenty billion, seven hundred forty-one million, three hundred twenty-eight thousand, one hundred twenty-eight".