6009424000 has 128 divisors (see below), whose sum is σ = 14995468800. Its totient is φ = 2395008000.

The previous prime is 6009423977. The next prime is 6009424007. The reversal of 6009424000 is 4249006.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6009424000² = 72226353623552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6009424007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6063505 + ... + 6064495.

It is an arithmetic number, because the mean of its divisors is an integer number (117152100).

Almost surely, 2^6009424000 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 6009424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497734400).

6009424000 is an abundant number, since it is smaller than the sum of its proper divisors (8986044800).

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

6009424000 is an equidigital number, since it uses as much as digits as its factorization.

6009424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6009424000 is about 77520.4747147487. The cubic root of 6009424000 is about 1818.0714587561.

The spelling of 6009424000 in words is "six billion, nine million, four hundred twenty-four thousand".