6846310766400 has 2688 divisors, whose sum is σ = 29413736448000. Its totient is φ = 1358622720000.

The previous prime is 6846310766389. The next prime is 6846310766417. The reversal of 6846310766400 is 46670136486.

It is a super-2 number, since 2×6846310766400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45339806325 + ... + 45339806475.

Almost surely, 2^{6846310766400} is an apocalyptic number.

6846310766400 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 6846310766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706868224000).

6846310766400 is an abundant number, since it is smaller than the sum of its proper divisors (22567425681600).

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

6846310766400 is a wasteful number, since it uses less digits than its factorization.

6846310766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 6846310766400 in words is "six trillion, eight hundred forty-six billion, three hundred ten million, seven hundred sixty-six thousand, four hundred".