8475090408064 has 192 divisors, whose sum is σ = 20068067520000. Its totient is φ = 3553191462912.

The previous prime is 8475090407989. The next prime is 8475090408077. The reversal of 8475090408064 is 4608040905748.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8475090407996 and 8475090408014.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 751398777 + ... + 751410055.

It is an arithmetic number, because the mean of its divisors is an integer number (104521185000).

Almost surely, 2^{8475090408064} 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 8475090408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034033760000).

8475090408064 is an abundant number, since it is smaller than the sum of its proper divisors (11592977111936).

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

8475090408064 is a wasteful number, since it uses less digits than its factorization.

8475090408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 8475090408064 in words is "eight trillion, four hundred seventy-five billion, ninety million, four hundred eight thousand, sixty-four".