7181968104 has 192 divisors, whose sum is σ = 21216349440. Its totient is φ = 2186096640.

The previous prime is 7181968097. The next prime is 7181968141. The reversal of 7181968104 is 4018691817.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7181968104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7535692 + ... + 7536644.

It is an arithmetic number, because the mean of its divisors is an integer number (110501820).

Almost surely, 2^7181968104 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 7181968104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608174720).

7181968104 is an abundant number, since it is smaller than the sum of its proper divisors (14034381336).

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

7181968104 is a wasteful number, since it uses less digits than its factorization.

7181968104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 7181968104 is about 84746.4931663842. The cubic root of 7181968104 is about 1929.3654212354.

The spelling of 7181968104 in words is "seven billion, one hundred eighty-one million, nine hundred sixty-eight thousand, one hundred four".