6546341967840 has 672 divisors, whose sum is σ = 24117345828576. Its totient is φ = 1677062983680.

The previous prime is 6546341967821. The next prime is 6546341967853. The reversal of 6546341967840 is 487691436456.

6546341967840 is a `hidden beast` number, since 6 + 5 + 463 + 4 + 1 + 96 + 7 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 305936022 + ... + 305957418.

It is an arithmetic number, because the mean of its divisors is an integer number (35888907483).

Almost surely, 2^{6546341967840} is an apocalyptic number.

6546341967840 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 6546341967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058672914288).

6546341967840 is an abundant number, since it is smaller than the sum of its proper divisors (17571003860736).

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

6546341967840 is a wasteful number, since it uses less digits than its factorization.

6546341967840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21534 (or 21511 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6546341967840 in words is "six trillion, five hundred forty-six billion, three hundred forty-one million, nine hundred sixty-seven thousand, eight hundred forty".