6825104640 has 216 divisors, whose sum is σ = 24641809920. Its totient is φ = 1740828672.

The previous prime is 6825104639. The next prime is 6825104653. The reversal of 6825104640 is 464015286.

6825104640 is a `hidden beast` number, since 6 + 8 + 2 + 5 + 1 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6825104595 and 6825104604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252081 + ... + 277839.

Almost surely, 2^6825104640 is an apocalyptic number.

6825104640 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 6825104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320904960).

6825104640 is an abundant number, since it is smaller than the sum of its proper divisors (17816705280).

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

6825104640 is a wasteful number, since it uses less digits than its factorization.

6825104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25809 (or 25792 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6825104640 is about 82614.1915169543. The cubic root of 6825104640 is about 1896.8650648425.

The spelling of 6825104640 in words is "six billion, eight hundred twenty-five million, one hundred four thousand, six hundred forty".