6918208128 has 192 divisors, whose sum is σ = 21793579080. Its totient is φ = 2093506560.

The previous prime is 6918208117. The next prime is 6918208133. The reversal of 6918208128 is 8218028196.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5208220224 + 1709987904 = 72168^2 + 41352^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909750 + ... + 917322.

Almost surely, 2^6918208128 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 6918208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896789540).

6918208128 is an abundant number, since it is smaller than the sum of its proper divisors (14875370952).

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

6918208128 is a wasteful number, since it uses less digits than its factorization.

6918208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7667 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 6918208128 is about 83175.7664707696. The cubic root of 6918208128 is about 1905.4513919900.

The spelling of 6918208128 in words is "six billion, nine hundred eighteen million, two hundred eight thousand, one hundred twenty-eight".