8219669128 has 64 divisors (see below), whose sum is σ = 17250045120. Its totient is φ = 3639552000.

The previous prime is 8219669123. The next prime is 8219669131.

8219669128 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8219669123) 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 15 ways as a sum of consecutive naturals, for example, 1514676 + ... + 1520092.

It is an arithmetic number, because the mean of its divisors is an integer number (269531955).

Almost surely, 2^8219669128 is an apocalyptic number.

8219669128 is a gapful number since it is divisible by the number (88) 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 8219669128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625022560).

8219669128 is an abundant number, since it is smaller than the sum of its proper divisors (9030375992).

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

8219669128 is a wasteful number, since it uses less digits than its factorization.

8219669128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5874 counting only the distinct ones).

The product of its digits is 746496, while the sum is 52.

The square root of 8219669128 is about 90662.3909236901. The cubic root of 8219669128 is about 2018.1407203123.

The spelling of 8219669128 in words is "eight billion, two hundred nineteen million, six hundred sixty-nine thousand, one hundred twenty-eight".