8211712320 has 336 divisors, whose sum is σ = 32740201728. Its totient is φ = 1850204160.

The previous prime is 8211712309. The next prime is 8211712339. The reversal of 8211712320 is 232171128.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1428492 + ... + 1434228.

Almost surely, 2^8211712320 is an apocalyptic number.

8211712320 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 8211712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370100864).

8211712320 is an abundant number, since it is smaller than the sum of its proper divisors (24528489408).

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

8211712320 is a wasteful number, since it uses less digits than its factorization.

8211712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5825 counting only the distinct ones).

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

The square root of 8211712320 is about 90618.4987737051. The cubic root of 8211712320 is about 2017.4893095623.

Adding to 8211712320 its reverse (232171128), we get a palindrome (8443883448).

The spelling of 8211712320 in words is "eight billion, two hundred eleven million, seven hundred twelve thousand, three hundred twenty".