744490070016 has 624 divisors, whose sum is σ = 2512494496512. Its totient is φ = 191916933120.

The previous prime is 744490069889. The next prime is 744490070033. The reversal of 744490070016 is 610070094447.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 744490070016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425048935 + ... + 2425049241.

It is an arithmetic number, because the mean of its divisors is an integer number (4026433488).

Almost surely, 2^744490070016 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 744490070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256247248256).

744490070016 is an abundant number, since it is smaller than the sum of its proper divisors (1768004426496).

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

744490070016 is a wasteful number, since it uses less digits than its factorization.

744490070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 744490070016 in words is "seven hundred forty-four billion, four hundred ninety million, seventy thousand, sixteen".