6004924416 has 224 divisors, whose sum is σ = 18849624480. Its totient is φ = 1882718208.

The previous prime is 6004924349. The next prime is 6004924417. The reversal of 6004924416 is 6144294006.

6004924416 is a `hidden beast` number, since 600 + 4 + 9 + 2 + 4 + 41 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004924417) 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, 3759330 + ... + 3760926.

Almost surely, 2^6004924416 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 6004924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424812240).

6004924416 is an abundant number, since it is smaller than the sum of its proper divisors (12844700064).

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

6004924416 is a wasteful number, since it uses less digits than its factorization.

6004924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6004924416 is about 77491.4473732424. The cubic root of 6004924416 is about 1817.6175823202.

The spelling of 6004924416 in words is "six billion, four million, nine hundred twenty-four thousand, four hundred sixteen".