6000825600 has 1296 divisors, whose sum is σ = 28316104320. Its totient is φ = 1216512000.

The previous prime is 6000825581. The next prime is 6000825601. The reversal of 6000825600 is 65280006.

6000825600 is a `hidden beast` number, since 600 + 0 + 8 + 2 + 56 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000825601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146361580 + ... + 146361620.

Almost surely, 2^6000825600 is an apocalyptic number.

6000825600 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 6000825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158052160).

6000825600 is an abundant number, since it is smaller than the sum of its proper divisors (22315278720).

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

6000825600 is a wasteful number, since it uses less digits than its factorization.

6000825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6000825600 is about 77464.9959659200. The cubic root of 6000825600 is about 1817.2039342742.

The spelling of 6000825600 in words is "six billion, eight hundred twenty-five thousand, six hundred".