744896768 has 288 divisors, whose sum is σ = 2034450432. Its totient is φ = 263577600.

The previous prime is 744896759. The next prime is 744896773. The reversal of 744896768 is 867698447.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14054630 + ... + 14054682.

It is an arithmetic number, because the mean of its divisors is an integer number (7064064).

Almost surely, 2^744896768 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 744896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017225216).

744896768 is an abundant number, since it is smaller than the sum of its proper divisors (1289553664).

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

744896768 is a wasteful number, since it uses less digits than its factorization.

744896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 59.

The square root of 744896768 is about 27292.7969984756. The cubic root of 744896768 is about 906.4948963332.

The spelling of 744896768 in words is "seven hundred forty-four million, eight hundred ninety-six thousand, seven hundred sixty-eight".