7968354012 has 72 divisors (see below), whose sum is σ = 20916735840. Its totient is φ = 2554688640.

The previous prime is 7968354011. The next prime is 7968354047. The reversal of 7968354012 is 2104538697.

7968354012 is a `hidden beast` number, since 7 + 96 + 8 + 3 + 540 + 12 = 666.

7968354012 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7968354012² (a number of 21 digits) contains 22 as substring.

7968354012 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968354011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260062 + ... + 289082.

It is an arithmetic number, because the mean of its divisors is an integer number (290510220).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7968354012 = 15936708024, but 3⋅7968354012 = 23905062036 is not.

It is a vampire number, since it can be written as 87063 ⋅ 91524 (with its own digits).

Almost surely, 2^7968354012 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 7968354012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458367920).

7968354012 is an abundant number, since it is smaller than the sum of its proper divisors (12948381828).

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

7968354012 is a wasteful number, since it uses less digits than its factorization.

7968354012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29323 (or 29318 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7968354012 is about 89265.6373527910. The cubic root of 7968354012 is about 1997.3593493499.

The spelling of 7968354012 in words is "seven billion, nine hundred sixty-eight million, three hundred fifty-four thousand, twelve".