7668048416 has 144 divisors (see below), whose sum is σ = 17986026240. Its totient is φ = 3207859200.

The previous prime is 7668048389. The next prime is 7668048419. The reversal of 7668048416 is 6148408667.

It is not an unprimeable number, because it can be changed into a prime (7668048419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12758516 + ... + 12759116.

It is an arithmetic number, because the mean of its divisors is an integer number (124902960).

Almost surely, 2^7668048416 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 7668048416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993013120).

7668048416 is an abundant number, since it is smaller than the sum of its proper divisors (10317977824).

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

7668048416 is a wasteful number, since it uses less digits than its factorization.

7668048416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 7668048416 is about 87567.3935663270. The cubic root of 7668048416 is about 1971.9456857249.

The spelling of 7668048416 in words is "seven billion, six hundred sixty-eight million, forty-eight thousand, four hundred sixteen".