6825902400 has 420 divisors, whose sum is σ = 25914908800. Its totient is φ = 1760486400.

The previous prime is 6825902393. The next prime is 6825902411. The reversal of 6825902400 is 42095286.

It is a happy number.

6825902400 is a `hidden beast` number, since 68 + 2 + 590 + 2 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4016751 + ... + 4018449.

Almost surely, 2^6825902400 is an apocalyptic number.

6825902400 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 6825902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957454400).

6825902400 is an abundant number, since it is smaller than the sum of its proper divisors (19089006400).

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

6825902400 is a wasteful number, since it uses less digits than its factorization.

6825902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6825902400 is about 82619.0196020263. The cubic root of 6825902400 is about 1896.9389676957.

Adding to 6825902400 its reverse (42095286), we get a palindrome (6867997686).

The spelling of 6825902400 in words is "six billion, eight hundred twenty-five million, nine hundred two thousand, four hundred".