744009217920 has 512 divisors, whose sum is σ = 2703062016000. Its totient is φ = 193318207488.

The previous prime is 744009217909. The next prime is 744009217927. The reversal of 744009217920 is 29712900447.

It is a happy number.

744009217920 is a `hidden beast` number, since 7 + 4 + 400 + 9 + 217 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744009217927) 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, 194104324 + ... + 194108156.

It is an arithmetic number, because the mean of its divisors is an integer number (5279418000).

Almost surely, 2^744009217920 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 744009217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351531008000).

744009217920 is an abundant number, since it is smaller than the sum of its proper divisors (1959052798080).

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

744009217920 is a wasteful number, since it uses less digits than its factorization.

744009217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 744009217920 in words is "seven hundred forty-four billion, nine million, two hundred seventeen thousand, nine hundred twenty".