7956381312 has 192 divisors, whose sum is σ = 25164509760. Its totient is φ = 2392903680.

The previous prime is 7956381311. The next prime is 7956381331. The reversal of 7956381312 is 2131836597.

7956381312 is a `hidden beast` number, since 7 + 9 + 5 + 638 + 1 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (7956381311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1733773 + ... + 1738355.

It is an arithmetic number, because the mean of its divisors is an integer number (131065155).

Almost surely, 2^7956381312 is an apocalyptic number.

7956381312 is a gapful number since it is divisible by the number (72) 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 7956381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582254880).

7956381312 is an abundant number, since it is smaller than the sum of its proper divisors (17208128448).

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

7956381312 is a wasteful number, since it uses less digits than its factorization.

7956381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4736 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 7956381312 is about 89198.5499433707. The cubic root of 7956381312 is about 1996.3584830345.

The spelling of 7956381312 in words is "seven billion, nine hundred fifty-six million, three hundred eighty-one thousand, three hundred twelve".