744087168 has 384 divisors, whose sum is σ = 2572113600. Its totient is φ = 209848320.

The previous prime is 744087167. The next prime is 744087209. The reversal of 744087168 is 861780447.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (744087163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20110446 + ... + 20110482.

Almost surely, 2^744087168 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 744087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286056800).

744087168 is an abundant number, since it is smaller than the sum of its proper divisors (1828026432).

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

744087168 is a wasteful number, since it uses less digits than its factorization.

744087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 744087168 is about 27277.9612141377. The cubic root of 744087168 is about 906.1663656597.

The spelling of 744087168 in words is "seven hundred forty-four million, eighty-seven thousand, one hundred sixty-eight".