8417700864 has 264 divisors, whose sum is σ = 25118655120. Its totient is φ = 2713976832.

The previous prime is 8417700859. The next prime is 8417700871. The reversal of 8417700864 is 4680077148.

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, 61443004 + ... + 61443140.

Almost surely, 2^8417700864 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 8417700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559327560).

8417700864 is an abundant number, since it is smaller than the sum of its proper divisors (16700954256).

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

8417700864 is a wasteful number, since it uses less digits than its factorization.

8417700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8417700864 is about 91748.0292104414. The cubic root of 8417700864 is about 2034.2195764263.

The spelling of 8417700864 in words is "eight billion, four hundred seventeen million, seven hundred thousand, eight hundred sixty-four".