8084466864 has 120 divisors (see below), whose sum is σ = 23858115840. Its totient is φ = 2548485504.

The previous prime is 8084466847. The next prime is 8084466911. The reversal of 8084466864 is 4686644808.

8084466864 is a `hidden beast` number, since 80 + 8 + 446 + 68 + 64 = 666.

It is a super-2 number, since 2×8084466864² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8084466864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1767909 + ... + 1772475.

It is an arithmetic number, because the mean of its divisors is an integer number (198817632).

Almost surely, 2^8084466864 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 8084466864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929057920).

8084466864 is an abundant number, since it is smaller than the sum of its proper divisors (15773648976).

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

8084466864 is a wasteful number, since it uses less digits than its factorization.

8084466864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 8084466864 is about 89913.6633888310. The cubic root of 8084466864 is about 2007.0142765371.

The spelling of 8084466864 in words is "eight billion, eighty-four million, four hundred sixty-six thousand, eight hundred sixty-four".