8479697408 has 320 divisors, whose sum is σ = 22405565952. Its totient is φ = 3114270720.

The previous prime is 8479697399. The next prime is 8479697453. The reversal of 8479697408 is 8047969748.

It is a super-4 number, since 4×8479697408⁴ (a number of 41 digits) contains 4444 as substring.

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 31 ways as a sum of consecutive naturals, for example, 43936160 + ... + 43936352.

Almost surely, 2^8479697408 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 8479697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202782976).

8479697408 is an abundant number, since it is smaller than the sum of its proper divisors (13925868544).

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

8479697408 is a wasteful number, since it uses less digits than its factorization.

8479697408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 62.

The square root of 8479697408 is about 92085.2724815429. The cubic root of 8479697408 is about 2039.2013893135.

It can be divided in two parts, 847969740 and 8, that added together give a palindrome (847969748).

The spelling of 8479697408 in words is "eight billion, four hundred seventy-nine million, six hundred ninety-seven thousand, four hundred eight".