6825293280 has 480 divisors, whose sum is σ = 27477926784. Its totient is φ = 1580580864.

The previous prime is 6825293273. The next prime is 6825293287. The reversal of 6825293280 is 823925286.

It is a happy number.

6825293280 is a `hidden beast` number, since 6 + 82 + 5 + 293 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (6825293273) and next prime (6825293287).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825293287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2862969 + ... + 2865351.

Almost surely, 2^6825293280 is an apocalyptic number.

6825293280 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 6825293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738963392).

6825293280 is an abundant number, since it is smaller than the sum of its proper divisors (20652633504).

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

6825293280 is a wasteful number, since it uses less digits than its factorization.

6825293280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6825293280 is about 82615.3332015311. Note that the first 3 decimals coincide. The cubic root of 6825293280 is about 1896.8825405858.

The spelling of 6825293280 in words is "six billion, eight hundred twenty-five million, two hundred ninety-three thousand, two hundred eighty".