6124041772800 has 432 divisors, whose sum is σ = 23189995245312. Its totient is φ = 1394196480000.

The previous prime is 6124041772727. The next prime is 6124041772829. The reversal of 6124041772800 is 82771404216.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 33643632 + ... + 33825168.

Almost surely, 2^{6124041772800} is an apocalyptic number.

6124041772800 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 6124041772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594997622656).

6124041772800 is an abundant number, since it is smaller than the sum of its proper divisors (17065953472512).

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

6124041772800 is a wasteful number, since it uses less digits than its factorization.

6124041772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181824 (or 181805 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 6124041772800 in words is "six trillion, one hundred twenty-four billion, forty-one million, seven hundred seventy-two thousand, eight hundred".