7965706320 has 1280 divisors, whose sum is σ = 35907701760. Its totient is φ = 1592524800.

The previous prime is 7965706291. The next prime is 7965706321. The reversal of 7965706320 is 236075697.

7965706320 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 7 + 0 + 632 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7965706321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 194285500 + ... + 194285540.

It is an arithmetic number, because the mean of its divisors is an integer number (28052892).

Almost surely, 2^7965706320 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 7965706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953850880).

7965706320 is an abundant number, since it is smaller than the sum of its proper divisors (27941995440).

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

7965706320 is a wasteful number, since it uses less digits than its factorization.

7965706320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7965706320 is about 89250.8057106489. The cubic root of 7965706320 is about 1997.1381000510.

The spelling of 7965706320 in words is "seven billion, nine hundred sixty-five million, seven hundred six thousand, three hundred twenty".