7986361320 has 256 divisors, whose sum is σ = 32214412800. Its totient is φ = 1718046720.

The previous prime is 7986361291. The next prime is 7986361321. The reversal of 7986361320 is 231636897.

7986361320 is a `hidden beast` number, since 7 + 9 + 8 + 6 + 3 + 613 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7986361321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97450 + ... + 159590.

It is an arithmetic number, because the mean of its divisors is an integer number (125837550).

Almost surely, 2^7986361320 is an apocalyptic number.

7986361320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7986361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107206400).

7986361320 is an abundant number, since it is smaller than the sum of its proper divisors (24228051480).

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

7986361320 is a wasteful number, since it uses less digits than its factorization.

7986361320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62185 (or 62175 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7986361320 is about 89366.4440380169. Note that the first 3 decimals coincide. The cubic root of 7986361320 is about 1998.8627968404.

The spelling of 7986361320 in words is "seven billion, nine hundred eighty-six million, three hundred sixty-one thousand, three hundred twenty".