746328968 has 256 divisors, whose sum is σ = 2023833600. Its totient is φ = 250905600.

The previous prime is 746328967. The next prime is 746328971. The reversal of 746328968 is 869823647.

It is not an unprimeable number, because it can be changed into a prime (746328967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24075113 + ... + 24075143.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2^746328968 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 746328968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011916800).

746328968 is an abundant number, since it is smaller than the sum of its proper divisors (1277504632).

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

746328968 is a wasteful number, since it uses less digits than its factorization.

746328968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 746328968 is about 27319.0220908436. The cubic root of 746328968 is about 907.0754916911.

The spelling of 746328968 in words is "seven hundred forty-six million, three hundred twenty-eight thousand, nine hundred sixty-eight".