8214727680 has 264 divisors, whose sum is σ = 29077094592. Its totient is φ = 2143420416.

The previous prime is 8214727673. The next prime is 8214727693. The reversal of 8214727680 is 867274128.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 2163864 + ... + 2167656.

Almost surely, 2^8214727680 is an apocalyptic number.

8214727680 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 8214727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538547296).

8214727680 is an abundant number, since it is smaller than the sum of its proper divisors (20862366912).

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

8214727680 is a wasteful number, since it uses less digits than its factorization.

8214727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8214727680 is about 90635.1349091510. The cubic root of 8214727680 is about 2017.7362216093.

The spelling of 8214727680 in words is "eight billion, two hundred fourteen million, seven hundred twenty-seven thousand, six hundred eighty".