8300380815360 has 736 divisors, whose sum is σ = 30005711694720. Its totient is φ = 2176743112704.

The previous prime is 8300380815359. The next prime is 8300380815449. The reversal of 8300380815360 is 635180830038.

8300380815360 is a `hidden beast` number, since 8 + 3 + 0 + 0 + 38 + 0 + 81 + 536 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60586721212 + ... + 60586721348.

It is an arithmetic number, because the mean of its divisors is an integer number (40768630020).

Almost surely, 2^{8300380815360} is an apocalyptic number.

8300380815360 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 8300380815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002855847360).

8300380815360 is an abundant number, since it is smaller than the sum of its proper divisors (21705330879360).

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

8300380815360 is an frugal number, since it uses more digits than its factorization.

8300380815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8300380815360 in words is "eight trillion, three hundred billion, three hundred eighty million, eight hundred fifteen thousand, three hundred sixty".