6046884000 has 576 divisors, whose sum is σ = 22936193280. Its totient is φ = 1505433600.

The previous prime is 6046883951. The next prime is 6046884001. The reversal of 6046884000 is 4886406.

6046884000 is a `hidden beast` number, since 604 + 6 + 8 + 8 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×6046884000² = 73129612218912000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6046884001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55475946 + ... + 55476054.

It is an arithmetic number, because the mean of its divisors is an integer number (39819780).

Almost surely, 2^6046884000 is an apocalyptic number.

6046884000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6046884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468096640).

6046884000 is an abundant number, since it is smaller than the sum of its proper divisors (16889309280).

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

6046884000 is a wasteful number, since it uses less digits than its factorization.

6046884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6046884000 is about 77761.7129440961. The cubic root of 6046884000 is about 1821.8413116388.

The spelling of 6046884000 in words is "six billion, forty-six million, eight hundred eighty-four thousand".