6948168192 has 240 divisors, whose sum is σ = 24267589632. Its totient is φ = 1868267520.

The previous prime is 6948168181. The next prime is 6948168259. The reversal of 6948168192 is 2918618496.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 542017 + ... + 554687.

Almost surely, 2^6948168192 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 6948168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133794816).

6948168192 is an abundant number, since it is smaller than the sum of its proper divisors (17319421440).

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

6948168192 is a wasteful number, since it uses less digits than its factorization.

6948168192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719 (or 12700 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 6948168192 is about 83355.6728243495. The cubic root of 6948168192 is about 1908.1980201373.

The spelling of 6948168192 in words is "six billion, nine hundred forty-eight million, one hundred sixty-eight thousand, one hundred ninety-two".