744360960 has 528 divisors, whose sum is σ = 2957112576. Its totient is φ = 158957568.

The previous prime is 744360923. The next prime is 744360961. The reversal of 744360960 is 69063447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744360961) 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, 17310699 + ... + 17310741.

It is an arithmetic number, because the mean of its divisors is an integer number (5600592).

Almost surely, 2^744360960 is an apocalyptic number.

744360960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478556288).

744360960 is an abundant number, since it is smaller than the sum of its proper divisors (2212751616).

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

744360960 is a wasteful number, since it uses less digits than its factorization.

744360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 744360960 is about 27282.9793094523. The cubic root of 744360960 is about 906.2774954163.

The spelling of 744360960 in words is "seven hundred forty-four million, three hundred sixty thousand, nine hundred sixty".