6396416000 has 312 divisors, whose sum is σ = 17763919992. Its totient is φ = 2285568000.

The previous prime is 6396415997. The next prime is 6396416003. The reversal of 6396416000 is 6146936.

It is an interprime number because it is at equal distance from previous prime (6396415997) and next prime (6396416003).

It can be written as a sum of positive squares in 4 ways, for example, as 1007681536 + 5388734464 = 31744^2 + 73408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6396416003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206335985 + ... + 206336015.

It is an arithmetic number, because the mean of its divisors is an integer number (56935641).

Almost surely, 2^6396416000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6396416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881959996).

6396416000 is an abundant number, since it is smaller than the sum of its proper divisors (11367503992).

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

6396416000 is an equidigital number, since it uses as much as digits as its factorization.

6396416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 6396416000 is about 79977.5968631216. The cubic root of 6396416000 is about 1856.2888967653.

The spelling of 6396416000 in words is "six billion, three hundred ninety-six million, four hundred sixteen thousand".