6482610000 has 600 divisors, whose sum is σ = 25380875520. Its totient is φ = 1534464000.

The previous prime is 6482609993. The next prime is 6482610023. The reversal of 6482610000 is 162846.

6482610000 is a `hidden beast` number, since 6 + 48 + 2 + 610 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 29069889 + ... + 29070111.

Almost surely, 2^6482610000 is an apocalyptic number.

6482610000 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 6482610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690437760).

6482610000 is an abundant number, since it is smaller than the sum of its proper divisors (18898265520).

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

6482610000 is a wasteful number, since it uses less digits than its factorization.

6482610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6482610000 is about 80514.6570507507. The cubic root of 6482610000 is about 1864.5897748148.

Adding to 6482610000 its reverse (162846), we get a palindrome (6482772846).

The spelling of 6482610000 in words is "six billion, four hundred eighty-two million, six hundred ten thousand".