7152310347264 has 400 divisors, whose sum is σ = 21660638630400. Its totient is φ = 2349282963456.

The previous prime is 7152310347209. The next prime is 7152310347289. The reversal of 7152310347264 is 4627430132517.

It is a happy number.

7152310347264 is a `hidden beast` number, since 7 + 15 + 2 + 3 + 103 + 472 + 64 = 666.

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 39 ways as a sum of consecutive naturals, for example, 1923179197 + ... + 1923182915.

It is an arithmetic number, because the mean of its divisors is an integer number (54151596576).

Almost surely, 2^{7152310347264} 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 7152310347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830319315200).

7152310347264 is an abundant number, since it is smaller than the sum of its proper divisors (14508328283136).

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

7152310347264 is an equidigital number, since it uses as much as digits as its factorization.

7152310347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 7152310347264 in words is "seven trillion, one hundred fifty-two billion, three hundred ten million, three hundred forty-seven thousand, two hundred sixty-four".