8423405760 has 672 divisors, whose sum is σ = 34558175232. Its totient is φ = 1718599680.

The previous prime is 8423405737. The next prime is 8423405779. The reversal of 8423405760 is 675043248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37773009 + ... + 37773231.

It is an arithmetic number, because the mean of its divisors is an integer number (51425856).

Almost surely, 2^8423405760 is an apocalyptic number.

8423405760 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 8423405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279087616).

8423405760 is an abundant number, since it is smaller than the sum of its proper divisors (26134769472).

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

8423405760 is a wasteful number, since it uses less digits than its factorization.

8423405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 8423405760 is about 91779.1139639079. The cubic root of 8423405760 is about 2034.6790205836.

The spelling of 8423405760 in words is "eight billion, four hundred twenty-three million, four hundred five thousand, seven hundred sixty".