7965724320 has 216 divisors, whose sum is σ = 28419008436. Its totient is φ = 2031642624.

The previous prime is 7965724309. The next prime is 7965724337. The reversal of 7965724320 is 234275697.

7965724320 is a `hidden beast` number, since 79 + 6 + 572 + 4 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7751745936 + 213978384 = 88044^2 + 14628^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 756532 + ... + 766988.

Almost surely, 2^7965724320 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 7965724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209504218).

7965724320 is an abundant number, since it is smaller than the sum of its proper divisors (20453284116).

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

7965724320 is a wasteful number, since it uses less digits than its factorization.

7965724320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7965724320 is about 89250.9065500177. The cubic root of 7965724320 is about 1997.1396043520.

The spelling of 7965724320 in words is "seven billion, nine hundred sixty-five million, seven hundred twenty-four thousand, three hundred twenty".