6825903240 has 256 divisors, whose sum is σ = 23503737600. Its totient is φ = 1580347392.

The previous prime is 6825903209. The next prime is 6825903247. The reversal of 6825903240 is 423095286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6825903247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4481119 + ... + 4482641.

It is an arithmetic number, because the mean of its divisors is an integer number (91811475).

Almost surely, 2^6825903240 is an apocalyptic number.

6825903240 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 6825903240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751868800).

6825903240 is an abundant number, since it is smaller than the sum of its proper divisors (16677834360).

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

6825903240 is a wasteful number, since it uses less digits than its factorization.

6825903240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6825903240 is about 82619.0246856013. The cubic root of 6825903240 is about 1896.9390455086.

The spelling of 6825903240 in words is "six billion, eight hundred twenty-five million, nine hundred three thousand, two hundred forty".