6866304076800 has 2112 divisors, whose sum is σ = 29825805312000. Its totient is φ = 1515579310080.

The previous prime is 6866304076789. The next prime is 6866304076811. The reversal of 6866304076800 is 86704036686.

It is an interprime number because it is at equal distance from previous prime (6866304076789) and next prime (6866304076811).

It is a super-2 number, since 2×6866304076800² (a number of 26 digits) contains 22 as substring.

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

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, 19126195021 + ... + 19126195379.

Almost surely, 2^{6866304076800} is an apocalyptic number.

6866304076800 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 6866304076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912902656000).

6866304076800 is an abundant number, since it is smaller than the sum of its proper divisors (22959501235200).

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

6866304076800 is a wasteful number, since it uses less digits than its factorization.

6866304076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6866304076800 in words is "six trillion, eight hundred sixty-six billion, three hundred four million, seventy-six thousand, eight hundred".