744407664 has 160 divisors (see below), whose sum is σ = 2582168064. Its totient is φ = 178467840.

The previous prime is 744407647. The next prime is 744407687. The reversal of 744407664 is 466704447.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40302 + ... + 55794.

Almost surely, 2^744407664 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 744407664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291084032).

744407664 is an abundant number, since it is smaller than the sum of its proper divisors (1837760400).

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

744407664 is a wasteful number, since it uses less digits than its factorization.

744407664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15535 (or 15529 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 744407664 is about 27283.8352142803. The cubic root of 744407664 is about 906.2964494369.

The spelling of 744407664 in words is "seven hundred forty-four million, four hundred seven thousand, six hundred sixty-four".