744956568 has 128 divisors (see below), whose sum is σ = 2180044800. Its totient is φ = 235243008.

The previous prime is 744956561. The next prime is 744956573. The reversal of 744956568 is 865659447.

744956568 is a `hidden beast` number, since 74 + 4 + 9 + 5 + 6 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744956561) 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 31 ways as a sum of consecutive naturals, for example, 560721 + ... + 562047.

It is an arithmetic number, because the mean of its divisors is an integer number (17031600).

Almost surely, 2^744956568 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 744956568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090022400).

744956568 is an abundant number, since it is smaller than the sum of its proper divisors (1435088232).

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

744956568 is a wasteful number, since it uses less digits than its factorization.

744956568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1468 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 744956568 is about 27293.8925036353. The cubic root of 744956568 is about 906.5191533608.

The spelling of 744956568 in words is "seven hundred forty-four million, nine hundred fifty-six thousand, five hundred sixty-eight".