6484617000 has 320 divisors, whose sum is σ = 22832409600. Its totient is φ = 1716681600.

The previous prime is 6484616993. The next prime is 6484617011. The reversal of 6484617000 is 7164846.

6484617000 is a `hidden beast` number, since 6 + 484 + 6 + 170 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 18062821 + ... + 18063179.

It is an arithmetic number, because the mean of its divisors is an integer number (71351280).

Almost surely, 2^6484617000 is an apocalyptic number.

6484617000 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 6484617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416204800).

6484617000 is an abundant number, since it is smaller than the sum of its proper divisors (16347792600).

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

6484617000 is a wasteful number, since it uses less digits than its factorization.

6484617000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6484617000 is about 80527.1196554304. The cubic root of 6484617000 is about 1864.7821790856.

The spelling of 6484617000 in words is "six billion, four hundred eighty-four million, six hundred seventeen thousand".