8215672000 has 112 divisors (see below), whose sum is σ = 20592909792. Its totient is φ = 3246412800.

The previous prime is 8215671973. The next prime is 8215672007. The reversal of 8215672000 is 2765128.

It is a super-3 number, since 3×8215672000³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8215672007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657814 + ... + 670186.

It is an arithmetic number, because the mean of its divisors is an integer number (183865266).

Almost surely, 2^8215672000 is an apocalyptic number.

8215672000 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 8215672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296454896).

8215672000 is an abundant number, since it is smaller than the sum of its proper divisors (12377237792).

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

8215672000 is a wasteful number, since it uses less digits than its factorization.

8215672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 8215672000 is about 90640.3442182343. The cubic root of 8215672000 is about 2017.8135346068.

The spelling of 8215672000 in words is "eight billion, two hundred fifteen million, six hundred seventy-two thousand".