8218716000 has 768 divisors, whose sum is σ = 32267289600. Its totient is φ = 1806336000.

The previous prime is 8218715993. The next prime is 8218716041. The reversal of 8218716000 is 6178128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72731944 + ... + 72732056.

It is an arithmetic number, because the mean of its divisors is an integer number (42014700).

Almost surely, 2^8218716000 is an apocalyptic number.

8218716000 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 8218716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

8218716000 is an abundant number, since it is smaller than the sum of its proper divisors (24048573600).

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

8218716000 is a wasteful number, since it uses less digits than its factorization.

8218716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 8218716000 is about 90657.1343028225. The cubic root of 8218716000 is about 2018.0627114633.

The spelling of 8218716000 in words is "eight billion, two hundred eighteen million, seven hundred sixteen thousand".