6978883968 has 256 divisors, whose sum is σ = 23988441600. Its totient is φ = 1955985408.

The previous prime is 6978883963. The next prime is 6978883969. The reversal of 6978883968 is 8693888796.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 6978883896 and 6978883905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6978883963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1279455 + ... + 1284897.

It is an arithmetic number, because the mean of its divisors is an integer number (93704850).

Almost surely, 2^6978883968 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 6978883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994220800).

6978883968 is an abundant number, since it is smaller than the sum of its proper divisors (17009557632).

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

6978883968 is a wasteful number, since it uses less digits than its factorization.

6978883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5508 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The square root of 6978883968 is about 83539.7149145243. The cubic root of 6978883968 is about 1911.0057446305.

The spelling of 6978883968 in words is "six billion, nine hundred seventy-eight million, eight hundred eighty-three thousand, nine hundred sixty-eight".