6866763066000 has 640 divisors, whose sum is σ = 26011335168000. Its totient is φ = 1728829440000.

The previous prime is 6866763065971. The next prime is 6866763066017. The reversal of 6866763066000 is 6603676686.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 68583976 + ... + 68684024.

It is an arithmetic number, because the mean of its divisors is an integer number (40642711200).

Almost surely, 2^{6866763066000} is an apocalyptic number.

6866763066000 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 6866763066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005667584000).

6866763066000 is an abundant number, since it is smaller than the sum of its proper divisors (19144572102000).

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

6866763066000 is a wasteful number, since it uses less digits than its factorization.

6866763066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100153 (or 100131 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6866763066000 in words is "six trillion, eight hundred sixty-six billion, seven hundred sixty-three million, sixty-six thousand".