7669978484448 has 288 divisors, whose sum is σ = 23927436288000. Its totient is φ = 2144052857856.

The previous prime is 7669978484419. The next prime is 7669978484449. The reversal of 7669978484448 is 8444848799667.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7669978484449) 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, 1060997698 + ... + 1061004926.

It is an arithmetic number, because the mean of its divisors is an integer number (83081376000).

Almost surely, 2^{7669978484448} 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 7669978484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963718144000).

7669978484448 is an abundant number, since it is smaller than the sum of its proper divisors (16257457803552).

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

7669978484448 is a wasteful number, since it uses less digits than its factorization.

7669978484448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12102 (or 12087 counting only the distinct ones).

The product of its digits is 18728091648, while the sum is 84.

The spelling of 7669978484448 in words is "seven trillion, six hundred sixty-nine billion, nine hundred seventy-eight million, four hundred eighty-four thousand, four hundred forty-eight".