6825054600 has 1536 divisors, whose sum is σ = 32997888000. Its totient is φ = 1254113280.

The previous prime is 6825054589. The next prime is 6825054637. The reversal of 6825054600 is 64505286.

6825054600 is a `hidden beast` number, since 68 + 2 + 50 + 546 + 0 + 0 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 158722179 + ... + 158722221.

It is an arithmetic number, because the mean of its divisors is an integer number (21483000).

Almost surely, 2^6825054600 is an apocalyptic number.

6825054600 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 6825054600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944000).

6825054600 is an abundant number, since it is smaller than the sum of its proper divisors (26172833400).

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

6825054600 is a wasteful number, since it uses less digits than its factorization.

6825054600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6825054600 is about 82613.8886628635. Note that the first 3 decimals coincide. The cubic root of 6825054600 is about 1896.8604290474.

Adding to 6825054600 its reverse (64505286), we get a palindrome (6889559886).

The spelling of 6825054600 in words is "six billion, eight hundred twenty-five million, fifty-four thousand, six hundred".