6405210000 has 400 divisors, whose sum is σ = 26264092800. Its totient is φ = 1463616000.

The previous prime is 6405209999. The next prime is 6405210001. The reversal of 6405210000 is 125046.

It is a happy number.

6405210000 is a `hidden beast` number, since 640 + 5 + 21 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6405209999) and next prime (6405210001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6405210001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1888306 + ... + 1891694.

It is an arithmetic number, because the mean of its divisors is an integer number (65660232).

Almost surely, 2^6405210000 is an apocalyptic number.

6405210000 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 6405210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132046400).

6405210000 is an abundant number, since it is smaller than the sum of its proper divisors (19858882800).

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

6405210000 is a wasteful number, since it uses less digits than its factorization.

6405210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6405210000 is about 80032.5558757185. Note that the first 3 decimals coincide. The cubic root of 6405210000 is about 1857.1392025851.

Adding to 6405210000 its reverse (125046), we get a palindrome (6405335046).

The spelling of 6405210000 in words is "six billion, four hundred five million, two hundred ten thousand".