6479198208 has 384 divisors, whose sum is σ = 23115456000. Its totient is φ = 1751777280.

The previous prime is 6479198203. The next prime is 6479198237. The reversal of 6479198208 is 8028919746.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6479198208² = 83960018837100822528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6479198203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7353928 + ... + 7354808.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 2^6479198208 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 6479198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

6479198208 is an abundant number, since it is smaller than the sum of its proper divisors (16636257792).

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

6479198208 is a wasteful number, since it uses less digits than its factorization.

6479198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 6479198208 is about 80493.4668653301. The cubic root of 6479198208 is about 1864.2626067536.

The spelling of 6479198208 in words is "six billion, four hundred seventy-nine million, one hundred ninety-eight thousand, two hundred eight".