6009466000 has 240 divisors, whose sum is σ = 15909530832. Its totient is φ = 2193408000.

The previous prime is 6009465947. The next prime is 6009466007. The reversal of 6009466000 is 6649006.

It can be written as a sum of positive squares in 24 ways, for example, as 2961101056 + 3048364944 = 54416^2 + 55212^2 .

It is a super-2 number, since 2×6009466000² = 72227363210312000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6009466007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21385860 + ... + 21386140.

Almost surely, 2^6009466000 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 6009466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954765416).

6009466000 is an abundant number, since it is smaller than the sum of its proper divisors (9900064832).

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

6009466000 is a wasteful number, since it uses less digits than its factorization.

6009466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 6009466000 is about 77520.7456104493. The cubic root of 6009466000 is about 1818.0756942604.

The spelling of 6009466000 in words is "six billion, nine million, four hundred sixty-six thousand".