6004276416 has 112 divisors (see below), whose sum is σ = 18221025280. Its totient is φ = 1936846080.

The previous prime is 6004276403. The next prime is 6004276433. The reversal of 6004276416 is 6146724006.

6004276416 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 2 + 7 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2476 + ... + 109611.

Almost surely, 2^6004276416 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 6004276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110512640).

6004276416 is an abundant number, since it is smaller than the sum of its proper divisors (12216748864).

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

6004276416 is a wasteful number, since it uses less digits than its factorization.

6004276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112139 (or 112123 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6004276416 is about 77487.2661538656. The cubic root of 6004276416 is about 1817.5521993955.

The spelling of 6004276416 in words is "six billion, four million, two hundred seventy-six thousand, four hundred sixteen".