6843097647648 has 480 divisors, whose sum is σ = 22026776808960. Its totient is φ = 2074751262720.

The previous prime is 6843097647643. The next prime is 6843097647649. The reversal of 6843097647648 is 8467467903486.

6843097647648 is a `hidden beast` number, since 6 + 8 + 43 + 0 + 9 + 76 + 476 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6843097647643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1132397715 + ... + 1132403757.

It is an arithmetic number, because the mean of its divisors is an integer number (45889118352).

Almost surely, 2^{6843097647648} is an apocalyptic number.

6843097647648 is a gapful number since it is divisible by the number (68) 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 6843097647648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013388404480).

6843097647648 is an abundant number, since it is smaller than the sum of its proper divisors (15183679161312).

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

6843097647648 is a wasteful number, since it uses less digits than its factorization.

6843097647648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 6843097647648 in words is "six trillion, eight hundred forty-three billion, ninety-seven million, six hundred forty-seven thousand, six hundred forty-eight".