8779705906608 has 480 divisors, whose sum is σ = 33053036470272. Its totient is φ = 2109017088000.

The previous prime is 8779705906607. The next prime is 8779705906627. The reversal of 8779705906608 is 8066095079778.

8779705906608 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 7 + 0 + 5 + 9 + 0 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8779705906603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6270133 + ... + 7541483.

Almost surely, 2^{8779705906608} 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 8779705906608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526518235136).

8779705906608 is an abundant number, since it is smaller than the sum of its proper divisors (24273330563664).

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

8779705906608 is a wasteful number, since it uses less digits than its factorization.

8779705906608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271433 (or 1271424 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 8779705906608 in words is "eight trillion, seven hundred seventy-nine billion, seven hundred five million, nine hundred six thousand, six hundred eight".