744394394688 has 448 divisors, whose sum is σ = 2445016842240. Its totient is φ = 195110166528.

The previous prime is 744394394687. The next prime is 744394394713. The reversal of 744394394688 is 886493493447.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (744394394687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210695770 + ... + 210699302.

It is an arithmetic number, because the mean of its divisors is an integer number (5457626880).

Almost surely, 2^744394394688 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 744394394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222508421120).

744394394688 is an abundant number, since it is smaller than the sum of its proper divisors (1700622447552).

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

744394394688 is a wasteful number, since it uses less digits than its factorization.

744394394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3824 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 69.

The spelling of 744394394688 in words is "seven hundred forty-four billion, three hundred ninety-four million, three hundred ninety-four thousand, six hundred eighty-eight".