6847243611264 has 672 divisors, whose sum is σ = 24826041397440. Its totient is φ = 1871267650560.

The previous prime is 6847243611233. The next prime is 6847243611289. The reversal of 6847243611264 is 4621163427486.

6847243611264 is a `hidden beast` number, since 6 + 8 + 472 + 43 + 6 + 1 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×6847243611264³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6847243611264.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 105130069 + ... + 105195179.

Almost surely, 2^{6847243611264} is an apocalyptic number.

6847243611264 is a gapful number since it is divisible by the number (64) 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 6847243611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413020698720).

6847243611264 is an abundant number, since it is smaller than the sum of its proper divisors (17978797786176).

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

6847243611264 is an equidigital number, since it uses as much as digits as its factorization.

6847243611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65180 (or 65146 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 6847243611264 in words is "six trillion, eight hundred forty-seven billion, two hundred forty-three million, six hundred eleven thousand, two hundred sixty-four".