6846430903200 has 864 divisors, whose sum is σ = 29258364844800. Its totient is φ = 1470615552000.

The previous prime is 6846430903189. The next prime is 6846430903243. The reversal of 6846430903200 is 23090346486.

6846430903200 is a `hidden beast` number, since 6 + 8 + 4 + 6 + 430 + 9 + 0 + 3 + 200 = 666.

It is a super-2 number, since 2×6846430903200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 600611101 + ... + 600622499.

It is an arithmetic number, because the mean of its divisors is an integer number (33863848200).

Almost surely, 2^{6846430903200} is an apocalyptic number.

6846430903200 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 6846430903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629182422400).

6846430903200 is an abundant number, since it is smaller than the sum of its proper divisors (22411933941600).

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

6846430903200 is a wasteful number, since it uses less digits than its factorization.

6846430903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6846430903200 in words is "six trillion, eight hundred forty-six billion, four hundred thirty million, nine hundred three thousand, two hundred".