6000409098432 has 280 divisors, whose sum is σ = 20345878003616. Its totient is φ = 1712903749632.

The previous prime is 6000409098331. The next prime is 6000409098433. The reversal of 6000409098432 is 2348909040006.

6000409098432 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 40 + 90 + 98 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (6000409098433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41768358 + ... + 41911770.

Almost surely, 2^{6000409098432} 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 6000409098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172939001808).

6000409098432 is an abundant number, since it is smaller than the sum of its proper divisors (14345468905184).

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

6000409098432 is a wasteful number, since it uses less digits than its factorization.

6000409098432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144597 (or 144578 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6000409098432 in words is "six trillion, four hundred nine million, ninety-eight thousand, four hundred thirty-two".