8648788320 has 288 divisors, whose sum is σ = 30972352320. Its totient is φ = 2194698240.

The previous prime is 8648788297. The next prime is 8648788339. The reversal of 8648788320 is 238878468.

8648788320 is a `hidden beast` number, since 86 + 487 + 8 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2963502 + ... + 2966418.

It is an arithmetic number, because the mean of its divisors is an integer number (107542890).

Almost surely, 2^8648788320 is an apocalyptic number.

8648788320 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 8648788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15486176160).

8648788320 is an abundant number, since it is smaller than the sum of its proper divisors (22323564000).

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

8648788320 is a wasteful number, since it uses less digits than its factorization.

8648788320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 8648788320 is about 92998.8619285204. The cubic root of 8648788320 is about 2052.6666324669. Note that the first 4 decimals are identical.

The spelling of 8648788320 in words is "eight billion, six hundred forty-eight million, seven hundred eighty-eight thousand, three hundred twenty".