8305756368 has 720 divisors, whose sum is σ = 31027389120. Its totient is φ = 1885814784.

The previous prime is 8305756321. The next prime is 8305756373. The reversal of 8305756368 is 8636575038.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 8305756368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286405378 + ... + 286405406.

It is an arithmetic number, because the mean of its divisors is an integer number (43093596).

Almost surely, 2^8305756368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8305756368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513694560).

8305756368 is an abundant number, since it is smaller than the sum of its proper divisors (22721632752).

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

8305756368 is a wasteful number, since it uses less digits than its factorization.

8305756368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 8305756368 is about 91135.9224894333. The cubic root of 8305756368 is about 2025.1618114259.

The spelling of 8305756368 in words is "eight billion, three hundred five million, seven hundred fifty-six thousand, three hundred sixty-eight".