6825428064 has 480 divisors, whose sum is σ = 26023092480. Its totient is φ = 1704250368.

The previous prime is 6825428009. The next prime is 6825428117. The reversal of 6825428064 is 4608245286.

6825428064 is a `hidden beast` number, since 68 + 254 + 280 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4480807 + ... + 4482329.

It is an arithmetic number, because the mean of its divisors is an integer number (54214776).

Almost surely, 2^6825428064 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 6825428064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13011546240).

6825428064 is an abundant number, since it is smaller than the sum of its proper divisors (19197664416).

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

6825428064 is a wasteful number, since it uses less digits than its factorization.

6825428064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 6825428064 is about 82616.1489298551. The cubic root of 6825428064 is about 1896.8950268738.

The spelling of 6825428064 in words is "six billion, eight hundred twenty-five million, four hundred twenty-eight thousand, sixty-four".