744344640 has 420 divisors, whose sum is σ = 2913398796. Its totient is φ = 179324928.

The previous prime is 744344639. The next prime is 744344669. The reversal of 744344640 is 46443447.

744344640 is a `hidden beast` number, since 7 + 4 + 4 + 3 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 561121344 = 13536^2 + 23688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 744344595 and 744344604.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 15837097 + ... + 15837143.

Almost surely, 2^744344640 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 744344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456699398).

744344640 is an abundant number, since it is smaller than the sum of its proper divisors (2169054156).

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

744344640 is a wasteful number, since it uses less digits than its factorization.

744344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 744344640 is about 27282.6802202423. The cubic root of 744344640 is about 906.2708720361.

The spelling of 744344640 in words is "seven hundred forty-four million, three hundred forty-four thousand, six hundred forty".