7440750720 has 640 divisors, whose sum is σ = 29246096880. Its totient is φ = 1791590400.

The previous prime is 7440750703. The next prime is 7440750731. The reversal of 7440750720 is 270570447.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 112021056 + 7328729664 = 10584^2 + 85608^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41109030 + ... + 41109210.

Almost surely, 2^7440750720 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 7440750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623048440).

7440750720 is an abundant number, since it is smaller than the sum of its proper divisors (21805346160).

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

7440750720 is a wasteful number, since it uses less digits than its factorization.

7440750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 7440750720 is about 86259.7862274189. The cubic root of 7440750720 is about 1952.2656742217.

The spelling of 7440750720 in words is "seven billion, four hundred forty million, seven hundred fifty thousand, seven hundred twenty".