7442607744 has 192 divisors, whose sum is σ = 25161645600. Its totient is φ = 2081802240.

The previous prime is 7442607727. The next prime is 7442607773. The reversal of 7442607744 is 4477062447.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 7442607744.

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 23 ways as a sum of consecutive naturals, for example, 142147 + ... + 187325.

Almost surely, 2^7442607744 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 7442607744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580822800).

7442607744 is an abundant number, since it is smaller than the sum of its proper divisors (17719037856).

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

7442607744 is a wasteful number, since it uses less digits than its factorization.

7442607744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45223 (or 45208 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The square root of 7442607744 is about 86270.5496910736. The cubic root of 7442607744 is about 1952.4280728284.

The spelling of 7442607744 in words is "seven billion, four hundred forty-two million, six hundred seven thousand, seven hundred forty-four".