6117224671800 has 864 divisors, whose sum is σ = 24099482534400. Its totient is φ = 1384633958400.

The previous prime is 6117224671703. The next prime is 6117224671801. The reversal of 6117224671800 is 81764227116.

6117224671800 is a `hidden beast` number, since 6 + 1 + 1 + 7 + 2 + 2 + 467 + 180 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6117224671801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 470223696 + ... + 470236704.

It is an arithmetic number, because the mean of its divisors is an integer number (27892919600).

Almost surely, 2^{6117224671800} is an apocalyptic number.

6117224671800 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 6117224671800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12049741267200).

6117224671800 is an abundant number, since it is smaller than the sum of its proper divisors (17982257862600).

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

6117224671800 is a wasteful number, since it uses less digits than its factorization.

6117224671800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13197 (or 13174 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 6117224671800 its reverse (81764227116), we get a palindrome (6198988898916).

The spelling of 6117224671800 in words is "six trillion, one hundred seventeen billion, two hundred twenty-four million, six hundred seventy-one thousand, eight hundred".