744718464 has 288 divisors, whose sum is σ = 2539555200. Its totient is φ = 208825344.

The previous prime is 744718453. The next prime is 744718483. The reversal of 744718464 is 464817447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4459309 + ... + 4459475.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^744718464 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 744718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

744718464 is an abundant number, since it is smaller than the sum of its proper divisors (1794836736).

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

744718464 is a wasteful number, since it uses less digits than its factorization.

744718464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 744718464 is about 27289.5303000986. The cubic root of 744718464 is about 906.4225621204.

The spelling of 744718464 in words is "seven hundred forty-four million, seven hundred eighteen thousand, four hundred sixty-four".