8216712000 has 1008 divisors, whose sum is σ = 36466838928. Its totient is φ = 1754726400.

The previous prime is 8216711977. The next prime is 8216712043. The reversal of 8216712000 is 2176128.

It can be written as a sum of positive squares in 8 ways, for example, as 1329039936 + 6887672064 = 36456^2 + 82992^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59975932 + ... + 59976068.

Almost surely, 2^8216712000 is an apocalyptic number.

8216712000 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 8216712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233419464).

8216712000 is an abundant number, since it is smaller than the sum of its proper divisors (28250126928).

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

8216712000 is a wasteful number, since it uses less digits than its factorization.

8216712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8216712000 is about 90646.0809963674. The cubic root of 8216712000 is about 2017.8986742251.

Adding to 8216712000 its reverse (2176128), we get a palindrome (8218888128).

The spelling of 8216712000 in words is "eight billion, two hundred sixteen million, seven hundred twelve thousand".