6844418100 has 108 divisors (see below), whose sum is σ = 23103753036. Its totient is φ = 1684776960.

The previous prime is 6844418071. The next prime is 6844418129. The reversal of 6844418100 is 18144486.

It is an interprime number because it is at equal distance from previous prime (6844418071) and next prime (6844418129).

It can be written as a sum of positive squares in 6 ways, for example, as 2035272996 + 4809145104 = 45114^2 + 69348^2 .

It is a super-2 number, since 2×6844418100² = 93692118255215220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280797 + ... + 304196.

Almost surely, 2^6844418100 is an apocalyptic number.

6844418100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6844418100 is an abundant number, since it is smaller than the sum of its proper divisors (16259334936).

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

6844418100 is a wasteful number, since it uses less digits than its factorization.

6844418100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585026 (or 585016 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6844418100 is about 82730.9984225985. The cubic root of 6844418100 is about 1898.6526088927.

The spelling of 6844418100 in words is "six billion, eight hundred forty-four million, four hundred eighteen thousand, one hundred".