7152307344 has 640 divisors, whose sum is σ = 26664960000. Its totient is φ = 1822818816.

The previous prime is 7152307343. The next prime is 7152307367. The reversal of 7152307344 is 4437032517.

7152307344 is a `hidden beast` number, since 7 + 1 + 5 + 2 + 307 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7152307299 and 7152307308.

It is not an unprimeable number, because it can be changed into a prime (7152307343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90535497 + ... + 90535575.

It is an arithmetic number, because the mean of its divisors is an integer number (41664000).

Almost surely, 2^7152307344 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 7152307344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332480000).

7152307344 is an abundant number, since it is smaller than the sum of its proper divisors (19512652656).

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

7152307344 is a wasteful number, since it uses less digits than its factorization.

7152307344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7152307344 is about 84571.3151369896. The cubic root of 7152307344 is about 1926.7057321905.

The spelling of 7152307344 in words is "seven billion, one hundred fifty-two million, three hundred seven thousand, three hundred forty-four".