8328752640 has 960 divisors, whose sum is σ = 34506362880. Its totient is φ = 1897758720.

The previous prime is 8328752629. The next prime is 8328752711. The reversal of 8328752640 is 462578238.

8328752640 is a `hidden beast` number, since 8 + 3 + 2 + 87 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268669425 + ... + 268669455.

It is an arithmetic number, because the mean of its divisors is an integer number (35944128).

Almost surely, 2^8328752640 is an apocalyptic number.

8328752640 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 8328752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253181440).

8328752640 is an abundant number, since it is smaller than the sum of its proper divisors (26177610240).

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

8328752640 is a wasteful number, since it uses less digits than its factorization.

8328752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8328752640 is about 91261.9999780851. Note that the first 4 decimals coincide. The cubic root of 8328752640 is about 2027.0291210772.

The spelling of 8328752640 in words is "eight billion, three hundred twenty-eight million, seven hundred fifty-two thousand, six hundred forty".