7315152768 has 960 divisors, whose sum is σ = 29546748000. Its totient is φ = 1788272640.

The previous prime is 7315152721. The next prime is 7315152769. The reversal of 7315152768 is 8672515137.

It is a happy number.

7315152768 is a `hidden beast` number, since 73 + 1 + 51 + 527 + 6 + 8 = 666.

It is a super-3 number, since 3×7315152768³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (352800) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7315152769) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 430303096 + ... + 430303112.

Almost surely, 2^7315152768 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 7315152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773374000).

7315152768 is an abundant number, since it is smaller than the sum of its proper divisors (22231595232).

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

7315152768 is a wasteful number, since it uses less digits than its factorization.

7315152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 7315152768 is about 85528.6663522821. Note that the first 3 decimals coincide. The cubic root of 7315152768 is about 1941.2187021400.

The spelling of 7315152768 in words is "seven billion, three hundred fifteen million, one hundred fifty-two thousand, seven hundred sixty-eight".