10006802806784 has 192 divisors, whose sum is σ = 24524838374400. Its totient is φ = 3986247942144.

The previous prime is 10006802806703. The next prime is 10006802806789. The reversal of 10006802806784 is 48760820860001.

It is a super-2 number, since 2×10006802806784² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006802806789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14089769 + ... + 14782935.

It is an arithmetic number, because the mean of its divisors is an integer number (127733533200).

Almost surely, 2^{10006802806784} is an apocalyptic number.

10006802806784 is a gapful number since it is divisible by the number (14) 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 10006802806784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262419187200).

10006802806784 is an abundant number, since it is smaller than the sum of its proper divisors (14518035567616).

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

10006802806784 is an equidigital number, since it uses as much as digits as its factorization.

10006802806784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693268 (or 693248 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 10006802806784 in words is "ten trillion, six billion, eight hundred two million, eight hundred six thousand, seven hundred eighty-four".