6484212000 has 576 divisors, whose sum is σ = 27302655744. Its totient is φ = 1480550400.

The previous prime is 6484211989. The next prime is 6484212011. The reversal of 6484212000 is 2124846.

6484212000 is a `hidden beast` number, since 648 + 4 + 2 + 12 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6484211989) and next prime (6484212011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6803524 + ... + 6804476.

It is an arithmetic number, because the mean of its divisors is an integer number (47400444).

Almost surely, 2^6484212000 is an apocalyptic number.

6484212000 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 6484212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651327872).

6484212000 is an abundant number, since it is smaller than the sum of its proper divisors (20818443744).

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

6484212000 is an equidigital number, since it uses as much as digits as its factorization.

6484212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6484212000 is about 80524.6049353861. The cubic root of 6484212000 is about 1864.7433563093.

Adding to 6484212000 its reverse (2124846), we get a palindrome (6486336846).

The spelling of 6484212000 in words is "six billion, four hundred eighty-four million, two hundred twelve thousand".