8346769920 has 480 divisors, whose sum is σ = 31789929600. Its totient is φ = 2014543872.

The previous prime is 8346769909. The next prime is 8346769927. The reversal of 8346769920 is 299676438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8346769927) 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, 10068066 + ... + 10068894.

It is an arithmetic number, because the mean of its divisors is an integer number (66229020).

Almost surely, 2^8346769920 is an apocalyptic number.

8346769920 is a gapful number since it is divisible by the number (80) 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 8346769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894964800).

8346769920 is an abundant number, since it is smaller than the sum of its proper divisors (23443159680).

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

8346769920 is a wasteful number, since it uses less digits than its factorization.

8346769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 8346769920 is about 91360.6584914973. The cubic root of 8346769920 is about 2028.4897338559.

The spelling of 8346769920 in words is "eight billion, three hundred forty-six million, seven hundred sixty-nine thousand, nine hundred twenty".