6224547813120 has 1728 divisors, whose sum is σ = 28346223919104. Its totient is φ = 1223696056320.

The previous prime is 6224547813119. The next prime is 6224547813151. The reversal of 6224547813120 is 213187454226.

6224547813120 is a `hidden beast` number, since 6 + 2 + 2 + 4 + 547 + 81 + 3 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1835606625 + ... + 1835610015.

It is an arithmetic number, because the mean of its divisors is an integer number (16404064768).

Almost surely, 2^{6224547813120} is an apocalyptic number.

6224547813120 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 6224547813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173111959552).

6224547813120 is an abundant number, since it is smaller than the sum of its proper divisors (22121676105984).

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

6224547813120 is a wasteful number, since it uses less digits than its factorization.

6224547813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6224547813120 in words is "six trillion, two hundred twenty-four billion, five hundred forty-seven million, eight hundred thirteen thousand, one hundred twenty".