8468910214800 has 960 divisors, whose sum is σ = 32718411792384. Its totient is φ = 1830744115200.

The previous prime is 8468910214789. The next prime is 8468910214847. The reversal of 8468910214800 is 84120198648.

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, 13421410485 + ... + 13421411115.

Almost surely, 2^{8468910214800} is an apocalyptic number.

8468910214800 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 8468910214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359205896192).

8468910214800 is an abundant number, since it is smaller than the sum of its proper divisors (24249501577584).

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

8468910214800 is a wasteful number, since it uses less digits than its factorization.

8468910214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 8468910214800 in words is "eight trillion, four hundred sixty-eight billion, nine hundred ten million, two hundred fourteen thousand, eight hundred".