6000928416 has 480 divisors, whose sum is σ = 21357084672. Its totient is φ = 1616785920.

The previous prime is 6000928399. The next prime is 6000928471. The reversal of 6000928416 is 6148290006.

6000928416 is a `hidden beast` number, since 600 + 0 + 9 + 2 + 8 + 41 + 6 = 666.

It is a super-3 number, since 3×6000928416³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 26435695 + ... + 26435921.

Almost surely, 2^6000928416 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 6000928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10678542336).

6000928416 is an abundant number, since it is smaller than the sum of its proper divisors (15356156256).

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

6000928416 is a wasteful number, since it uses less digits than its factorization.

6000928416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6000928416 is about 77465.6595918475. The cubic root of 6000928416 is about 1817.2143126557.

The spelling of 6000928416 in words is "six billion, nine hundred twenty-eight thousand, four hundred sixteen".