6866084620800 has 600 divisors, whose sum is σ = 25460935667772. Its totient is φ = 1827422208000.

The previous prime is 6866084620799. The next prime is 6866084620823. The reversal of 6866084620800 is 80264806686.

It is a happy number.

6866084620800 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 0 + 8 + 4 + 620 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1376323156224 + 5489761464576 = 1173168^2 + 2343024^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 560902680 + ... + 560914920.

Almost surely, 2^{6866084620800} is an apocalyptic number.

6866084620800 is a gapful number since it is divisible by the number (60) 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 6866084620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730467833886).

6866084620800 is an abundant number, since it is smaller than the sum of its proper divisors (18594851046972).

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

6866084620800 is a wasteful number, since it uses less digits than its factorization.

6866084620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12822 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 6866084620800 in words is "six trillion, eight hundred sixty-six billion, eighty-four million, six hundred twenty thousand, eight hundred".