7243303664640 has 1056 divisors, whose sum is σ = 24866062525440. Its totient is φ = 1798231818240.

The previous prime is 7243303664627. The next prime is 7243303664651. The reversal of 7243303664640 is 464663033427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7243303664640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91687388121 + ... + 91687388199.

Almost surely, 2^{7243303664640} 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 7243303664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12433031262720).

7243303664640 is an abundant number, since it is smaller than the sum of its proper divisors (17622758860800).

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

7243303664640 is a wasteful number, since it uses less digits than its factorization.

7243303664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 48.

The spelling of 7243303664640 in words is "seven trillion, two hundred forty-three billion, three hundred three million, six hundred sixty-four thousand, six hundred forty".