7441344720 has 320 divisors, whose sum is σ = 27306823680. Its totient is φ = 1856102400.

The previous prime is 7441344707. The next prime is 7441344751. The reversal of 7441344720 is 274431447.

It is a happy number.

It is a super-2 number, since 2×7441344720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 7012990 + ... + 7014050.

It is an arithmetic number, because the mean of its divisors is an integer number (85333824).

Almost surely, 2^7441344720 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 7441344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653411840).

7441344720 is an abundant number, since it is smaller than the sum of its proper divisors (19865478960).

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

7441344720 is a wasteful number, since it uses less digits than its factorization.

7441344720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7441344720 is about 86263.2292463017. The cubic root of 7441344720 is about 1952.3176230548.

The spelling of 7441344720 in words is "seven billion, four hundred forty-one million, three hundred forty-four thousand, seven hundred twenty".