6854766668100 has 864 divisors, whose sum is σ = 23919714873600. Its totient is φ = 1631566540800.

The previous prime is 6854766668021. The next prime is 6854766668107. The reversal of 6854766668100 is 18666674586.

It is a super-2 number, since 2×6854766668100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6854766668107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16282105890 + ... + 16282106310.

Almost surely, 2^{6854766668100} is an apocalyptic number.

6854766668100 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 6854766668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959857436800).

6854766668100 is an abundant number, since it is smaller than the sum of its proper divisors (17064948205500).

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

6854766668100 is a wasteful number, since it uses less digits than its factorization.

6854766668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6854766668100 in words is "six trillion, eight hundred fifty-four billion, seven hundred sixty-six million, six hundred sixty-eight thousand, one hundred".