6825406896 has 320 divisors, whose sum is σ = 25217433600. Its totient is φ = 1715385600.

The previous prime is 6825406871. The next prime is 6825406901. The reversal of 6825406896 is 6986045286.

It is a happy number.

6825406896 is a `hidden beast` number, since 6 + 8 + 2 + 540 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1027875 + ... + 1034493.

It is an arithmetic number, because the mean of its divisors is an integer number (78804480).

Almost surely, 2^6825406896 is an apocalyptic number.

6825406896 is a gapful number since it is divisible by the number (66) 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 6825406896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608716800).

6825406896 is an abundant number, since it is smaller than the sum of its proper divisors (18392026704).

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

6825406896 is a wasteful number, since it uses less digits than its factorization.

6825406896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6673 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6825406896 is about 82616.0208192092. The cubic root of 6825406896 is about 1896.8930658971.

The spelling of 6825406896 in words is "six billion, eight hundred twenty-five million, four hundred six thousand, eight hundred ninety-six".