7683288968448 has 432 divisors, whose sum is σ = 23075868816000. Its totient is φ = 2455678697472.

The previous prime is 7683288968441. The next prime is 7683288968503. The reversal of 7683288968448 is 8448698823867.

7683288968448 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 2 + 88 + 96 + 8 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7683288968441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8944457043 + ... + 8944457901.

It is an arithmetic number, because the mean of its divisors is an integer number (53416363000).

Almost surely, 2^{7683288968448} 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 7683288968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11537934408000).

7683288968448 is an abundant number, since it is smaller than the sum of its proper divisors (15392579847552).

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

7683288968448 is a wasteful number, since it uses less digits than its factorization.

7683288968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1665 counting only the distinct ones).

The product of its digits is 7134511104, while the sum is 81.

The spelling of 7683288968448 in words is "seven trillion, six hundred eighty-three billion, two hundred eighty-eight million, nine hundred sixty-eight thousand, four hundred forty-eight".