744760016 has 240 divisors, whose sum is σ = 2015049600. Its totient is φ = 264176640.

The previous prime is 744760001. The next prime is 744760031. The reversal of 744760016 is 610067447.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (744760001) and next prime (744760031).

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 47 ways as a sum of consecutive naturals, for example, 10202156 + ... + 10202228.

It is an arithmetic number, because the mean of its divisors is an integer number (8396040).

Almost surely, 2^744760016 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 744760016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007524800).

744760016 is an abundant number, since it is smaller than the sum of its proper divisors (1270289584).

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

744760016 is a wasteful number, since it uses less digits than its factorization.

744760016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 744760016 is about 27290.2916070899. The cubic root of 744760016 is about 906.4394199316.

The spelling of 744760016 in words is "seven hundred forty-four million, seven hundred sixty thousand, sixteen".