6848060646000 has 640 divisors, whose sum is σ = 25928333623296. Its totient is φ = 1522497254400.

The previous prime is 6848060645963. The next prime is 6848060646043. The reversal of 6848060646000 is 6460608486.

It is a super-2 number, since 2×6848060646000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 321751359 + ... + 321772641.

Almost surely, 2^{6848060646000} is an apocalyptic number.

6848060646000 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 6848060646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964166811648).

6848060646000 is an abundant number, since it is smaller than the sum of its proper divisors (19080272977296).

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

6848060646000 is a wasteful number, since it uses less digits than its factorization.

6848060646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21526 (or 21510 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 6848060646000 in words is "six trillion, eight hundred forty-eight billion, sixty million, six hundred forty-six thousand".