6825630240 has 960 divisors, whose sum is σ = 29506498560. Its totient is φ = 1463132160.

The previous prime is 6825630233. The next prime is 6825630307. The reversal of 6825630240 is 420365286.

6825630240 is a `hidden beast` number, since 68 + 256 + 302 + 40 = 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 = 6825630195 and 6825630204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53745057 + ... + 53745183.

It is an arithmetic number, because the mean of its divisors is an integer number (30735936).

Almost surely, 2^6825630240 is an apocalyptic number.

6825630240 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 6825630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753249280).

6825630240 is an abundant number, since it is smaller than the sum of its proper divisors (22680868320).

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

6825630240 is a wasteful number, since it uses less digits than its factorization.

6825630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6825630240 is about 82617.3725072397. The cubic root of 6825630240 is about 1896.9137559976.

The spelling of 6825630240 in words is "six billion, eight hundred twenty-five million, six hundred thirty thousand, two hundred forty".