8228640000 has 720 divisors, whose sum is σ = 32693534720. Its totient is φ = 1797120000.

The previous prime is 8228639987. The next prime is 8228640019. The reversal of 8228640000 is 468228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8228640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104159961 + ... + 104160039.

Almost surely, 2^8228640000 is an apocalyptic number.

8228640000 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 8228640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346767360).

8228640000 is an abundant number, since it is smaller than the sum of its proper divisors (24464894720).

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

8228640000 is an equidigital number, since it uses as much as digits as its factorization.

8228640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8228640000 is about 90711.8514859001. The cubic root of 8228640000 is about 2018.8746468419.

The spelling of 8228640000 in words is "eight billion, two hundred twenty-eight million, six hundred forty thousand".