600713441328 has 640 divisors, whose sum is σ = 2322331361280. Its totient is φ = 128417218560.

The previous prime is 600713441267. The next prime is 600713441329. The reversal of 600713441328 is 823144317006.

600713441328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (600713441329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15500151 + ... + 15538857.

It is an arithmetic number, because the mean of its divisors is an integer number (3628642752).

Almost surely, 2^600713441328 is an apocalyptic number.

600713441328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 600713441328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161165680640).

600713441328 is an abundant number, since it is smaller than the sum of its proper divisors (1721617919952).

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

600713441328 is a wasteful number, since it uses less digits than its factorization.

600713441328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38785 (or 38779 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 600713441328 in words is "six hundred billion, seven hundred thirteen million, four hundred forty-one thousand, three hundred twenty-eight".