6242546227200 has 576 divisors, whose sum is σ = 22441832693280. Its totient is φ = 1524388331520.

The previous prime is 6242546227157. The next prime is 6242546227213. The reversal of 6242546227200 is 27226452426.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96582094 + ... + 96646706.

Almost surely, 2^{6242546227200} is an apocalyptic number.

6242546227200 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 6242546227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11220916346640).

6242546227200 is an abundant number, since it is smaller than the sum of its proper divisors (16199286466080).

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

6242546227200 is a wasteful number, since it uses less digits than its factorization.

6242546227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64702 (or 64677 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 6242546227200 in words is "six trillion, two hundred forty-two billion, five hundred forty-six million, two hundred twenty-seven thousand, two hundred".