8215966720 has 352 divisors, whose sum is σ = 23064416928. Its totient is φ = 2780823552.

The previous prime is 8215966691. The next prime is 8215966721. The reversal of 8215966720 is 276695128.

It can be written as a sum of positive squares in 16 ways, for example, as 981443584 + 7234523136 = 31328^2 + 85056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8215966721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59970492 + ... + 59970628.

Almost surely, 2^8215966720 is an apocalyptic number.

8215966720 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 8215966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532208464).

8215966720 is an abundant number, since it is smaller than the sum of its proper divisors (14848450208).

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

8215966720 is a wasteful number, since it uses less digits than its factorization.

8215966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 8215966720 is about 90641.9699697662. The cubic root of 8215966720 is about 2017.8376625943.

The spelling of 8215966720 in words is "eight billion, two hundred fifteen million, nine hundred sixty-six thousand, seven hundred twenty".