8368869300480 has 1728 divisors, whose sum is σ = 34461785449728. Its totient is φ = 1926317998080.

The previous prime is 8368869300439. The next prime is 8368869300499. The reversal of 8368869300480 is 840039688638.

8368869300480 is a `hidden beast` number, since 8 + 3 + 68 + 8 + 6 + 93 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14504105952 + ... + 14504106528.

It is an arithmetic number, because the mean of its divisors is an integer number (19943162876).

Almost surely, 2^{8368869300480} is an apocalyptic number.

8368869300480 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 8368869300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230892724864).

8368869300480 is an abundant number, since it is smaller than the sum of its proper divisors (26092916149248).

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

8368869300480 is a wasteful number, since it uses less digits than its factorization.

8368869300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 8368869300480 in words is "eight trillion, three hundred sixty-eight billion, eight hundred sixty-nine million, three hundred thousand, four hundred eighty".