6812459623200 has 864 divisors, whose sum is σ = 28816429380480. Its totient is φ = 1366751232000.

The previous prime is 6812459623199. The next prime is 6812459623241. The reversal of 6812459623200 is 23269542186.

It is a happy number.

It is a super-2 number, since 2×6812459623200² (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 self number, because there is not a number n which added to its sum of digits gives 6812459623200.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 58893420 + ... + 59008980.

It is an arithmetic number, because the mean of its divisors is an integer number (33352348820).

Almost surely, 2^{6812459623200} is an apocalyptic number.

6812459623200 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 6812459623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408214690240).

6812459623200 is an abundant number, since it is smaller than the sum of its proper divisors (22003969757280).

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

6812459623200 is a wasteful number, since it uses less digits than its factorization.

6812459623200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115642 (or 115618 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 6812459623200 in words is "six trillion, eight hundred twelve billion, four hundred fifty-nine million, six hundred twenty-three thousand, two hundred".