6223729996800 has 792 divisors, whose sum is σ = 23906790180000. Its totient is φ = 1602385182720.

The previous prime is 6223729996793. The next prime is 6223729996801. The reversal of 6223729996800 is 86999273226.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6223729996801) 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 71 ways as a sum of consecutive naturals, for example, 180385951 + ... + 180420449.

Almost surely, 2^{6223729996800} is an apocalyptic number.

6223729996800 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 6223729996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11953395090000).

6223729996800 is an abundant number, since it is smaller than the sum of its proper divisors (17683060183200).

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

6223729996800 is a wasteful number, since it uses less digits than its factorization.

6223729996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34573 (or 34538 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 6223729996800 in words is "six trillion, two hundred twenty-three billion, seven hundred twenty-nine million, nine hundred ninety-six thousand, eight hundred".