6124242432 has 320 divisors, whose sum is σ = 20746243584. Its totient is φ = 1559101440.

The previous prime is 6124242373. The next prime is 6124242461. The reversal of 6124242432 is 2342424216.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6124242432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6267928 + ... + 6268904.

Almost surely, 2^6124242432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6124242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373121792).

6124242432 is an abundant number, since it is smaller than the sum of its proper divisors (14622001152).

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

6124242432 is a wasteful number, since it uses less digits than its factorization.

6124242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1053 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 6124242432 is about 78257.5391384115. The cubic root of 6124242432 is about 1829.5774186249.

Adding to 6124242432 its reverse (2342424216), we get a palindrome (8466666648).

The spelling of 6124242432 in words is "six billion, one hundred twenty-four million, two hundred forty-two thousand, four hundred thirty-two".