6854866729056 has 576 divisors, whose sum is σ = 22137018301440. Its totient is φ = 2059433164800.

The previous prime is 6854866729031. The next prime is 6854866729057. The reversal of 6854866729056 is 6509276684586.

6854866729056 is a `hidden beast` number, since 6 + 8 + 5 + 486 + 6 + 7 + 2 + 90 + 56 = 666.

It is a super-2 number, since 2×6854866729056² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6854866729057) 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 95 ways as a sum of consecutive naturals, for example, 1384539381 + ... + 1384544331.

It is an arithmetic number, because the mean of its divisors is an integer number (38432323440).

Almost surely, 2^{6854866729056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6854866729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068509150720).

6854866729056 is an abundant number, since it is smaller than the sum of its proper divisors (15282151572384).

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

6854866729056 is a wasteful number, since it uses less digits than its factorization.

6854866729056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 6854866729056 in words is "six trillion, eight hundred fifty-four billion, eight hundred sixty-six million, seven hundred twenty-nine thousand, fifty-six".