7968172212 has 432 divisors, whose sum is σ = 27682881408. Its totient is φ = 1876193280.

The previous prime is 7968172171. The next prime is 7968172229. The reversal of 7968172212 is 2122718697.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 34198048 + ... + 34198280.

It is an arithmetic number, because the mean of its divisors is an integer number (64080744).

Almost surely, 2^7968172212 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 7968172212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841440704).

7968172212 is an abundant number, since it is smaller than the sum of its proper divisors (19714709196).

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

7968172212 is a wasteful number, since it uses less digits than its factorization.

7968172212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 7968172212 is about 89264.6190380041. The cubic root of 7968172212 is about 1997.3441591491.

The spelling of 7968172212 in words is "seven billion, nine hundred sixty-eight million, one hundred seventy-two thousand, two hundred twelve".