7944731424 has 432 divisors, whose sum is σ = 28233878400. Its totient is φ = 2188601856.

The previous prime is 7944731411. The next prime is 7944731441. The reversal of 7944731424 is 4241374497.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7944731424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11049337 + ... + 11050055.

It is an arithmetic number, because the mean of its divisors is an integer number (65356200).

Almost surely, 2^7944731424 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 7944731424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

7944731424 is an abundant number, since it is smaller than the sum of its proper divisors (20289146976).

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

7944731424 is a wasteful number, since it uses less digits than its factorization.

7944731424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 760 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 7944731424 is about 89133.2228969647. Note that the first 3 decimals coincide. The cubic root of 7944731424 is about 1995.3836381331.

The spelling of 7944731424 in words is "seven billion, nine hundred forty-four million, seven hundred thirty-one thousand, four hundred twenty-four".