6209424000 has 768 divisors, whose sum is σ = 25021301760. Its totient is φ = 1465344000.

The previous prime is 6209423989. The next prime is 6209424007. The reversal of 6209424000 is 4249026.

It is not an unprimeable number, because it can be changed into a prime (6209424007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58031947 + ... + 58032053.

It is an arithmetic number, because the mean of its divisors is an integer number (32579820).

Almost surely, 2^6209424000 is an apocalyptic number.

6209424000 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 6209424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510650880).

6209424000 is an abundant number, since it is smaller than the sum of its proper divisors (18811877760).

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

6209424000 is a wasteful number, since it uses less digits than its factorization.

6209424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6209424000 is about 78799.8984770920. The cubic root of 6209424000 is about 1838.0208713559.

The spelling of 6209424000 in words is "six billion, two hundred nine million, four hundred twenty-four thousand".