8284785868800 has 1440 divisors, whose sum is σ = 34617403392000. Its totient is φ = 1854972887040.

The previous prime is 8284785868783. The next prime is 8284785868811. The reversal of 8284785868800 is 88685874828.

8284785868800 is a `hidden beast` number, since 8 + 28 + 478 + 58 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65234534337 + ... + 65234534463.

Almost surely, 2^{8284785868800} is an apocalyptic number.

8284785868800 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 8284785868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308701696000).

8284785868800 is an abundant number, since it is smaller than the sum of its proper divisors (26332617523200).

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

8284785868800 is an equidigital number, since it uses as much as digits as its factorization.

8284785868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 440401920, while the sum is 72.

The spelling of 8284785868800 in words is "eight trillion, two hundred eighty-four billion, seven hundred eighty-five million, eight hundred sixty-eight thousand, eight hundred".