8405766468 has 96 divisors (see below), whose sum is σ = 23851376640. Its totient is φ = 2538900000.

The previous prime is 8405766427. The next prime is 8405766487. The reversal of 8405766468 is 8646675048.

8405766468 is a `hidden beast` number, since 8 + 4 + 0 + 576 + 6 + 4 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358093 + ... + 380843.

It is an arithmetic number, because the mean of its divisors is an integer number (248451840).

Almost surely, 2^8405766468 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 8405766468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925688320).

8405766468 is an abundant number, since it is smaller than the sum of its proper divisors (15445610172).

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

8405766468 is a wasteful number, since it uses less digits than its factorization.

8405766468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23086 (or 23078 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 8405766468 is about 91682.9671640267. The cubic root of 8405766468 is about 2033.2577673133.

The spelling of 8405766468 in words is "eight billion, four hundred five million, seven hundred sixty-six thousand, four hundred sixty-eight".