8417116800 has 576 divisors, whose sum is σ = 31904832960. Its totient is φ = 2108620800.

The previous prime is 8417116769. The next prime is 8417116817. The reversal of 8417116800 is 86117148.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64252735 + ... + 64252865.

It is an arithmetic number, because the mean of its divisors is an integer number (55390335).

Almost surely, 2^8417116800 is an apocalyptic number.

8417116800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8417116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952416480).

8417116800 is an abundant number, since it is smaller than the sum of its proper divisors (23487716160).

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

8417116800 is a wasteful number, since it uses less digits than its factorization.

8417116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8417116800 is about 91744.8461767744. The cubic root of 8417116800 is about 2034.1725270826.

The spelling of 8417116800 in words is "eight billion, four hundred seventeen million, one hundred sixteen thousand, eight hundred".