742944916224 has 432 divisors, whose sum is σ = 2517918504192. Its totient is φ = 206293082112.

The previous prime is 742944916223. The next prime is 742944916229. The reversal of 742944916224 is 422619449247.

742944916224 is a `hidden beast` number, since 7 + 4 + 2 + 9 + 4 + 4 + 9 + 1 + 622 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (742944916223) 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, 91457827 + ... + 91465949.

It is an arithmetic number, because the mean of its divisors is an integer number (5828515056).

Almost surely, 2^742944916224 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 742944916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258959252096).

742944916224 is an abundant number, since it is smaller than the sum of its proper divisors (1774973587968).

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

742944916224 is a wasteful number, since it uses less digits than its factorization.

742944916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8295 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 742944916224 in words is "seven hundred forty-two billion, nine hundred forty-four million, nine hundred sixteen thousand, two hundred twenty-four".