6918861600 has 216 divisors, whose sum is σ = 27883215360. Its totient is φ = 1581442560.

The previous prime is 6918861589. The next prime is 6918861613. The reversal of 6918861600 is 61688196.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18240 + ... + 119039.

It is an arithmetic number, because the mean of its divisors is an integer number (129088960).

Almost surely, 2^6918861600 is an apocalyptic number.

6918861600 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 6918861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941607680).

6918861600 is an abundant number, since it is smaller than the sum of its proper divisors (20964353760).

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

6918861600 is a wasteful number, since it uses less digits than its factorization.

6918861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137312 (or 137296 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 6918861600 is about 83179.6946375737. The cubic root of 6918861600 is about 1905.5113843997.

The spelling of 6918861600 in words is "six billion, nine hundred eighteen million, eight hundred sixty-one thousand, six hundred".