6518042900 has 72 divisors (see below), whose sum is σ = 14651484120. Its totient is φ = 2513943040.

The previous prime is 6518042863. The next prime is 6518042903. The reversal of 6518042900 is 92408156.

It can be written as a sum of positive squares in 12 ways, for example, as 1437774724 + 5080268176 = 37918^2 + 71276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6518042903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3980882 + ... + 3982518.

It is an arithmetic number, because the mean of its divisors is an integer number (203492835).

Almost surely, 2^6518042900 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 6518042900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325742060).

6518042900 is an abundant number, since it is smaller than the sum of its proper divisors (8133441220).

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

6518042900 is a wasteful number, since it uses less digits than its factorization.

6518042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 6518042900 is about 80734.3972542063. The cubic root of 6518042900 is about 1867.9807863161.

The spelling of 6518042900 in words is "six billion, five hundred eighteen million, forty-two thousand, nine hundred".