5669879420688 has 960 divisors, whose sum is σ = 20127549254400. Its totient is φ = 1360387768320.

The previous prime is 5669879420687. The next prime is 5669879420749. The reversal of 5669879420688 is 8860249789665.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5669879420683) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 903275406 + ... + 903281682.

It is an arithmetic number, because the mean of its divisors is an integer number (20966197140).

Almost surely, 2^{5669879420688} is an apocalyptic number.

5669879420688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5669879420688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063774627200).

5669879420688 is an abundant number, since it is smaller than the sum of its proper divisors (14457669833712).

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

5669879420688 is a wasteful number, since it uses less digits than its factorization.

5669879420688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 78.

The spelling of 5669879420688 in words is "five trillion, six hundred sixty-nine billion, eight hundred seventy-nine million, four hundred twenty thousand, six hundred eighty-eight".