7006791168 has 320 divisors, whose sum is σ = 22585221120. Its totient is φ = 2131992576.

The previous prime is 7006791167. The next prime is 7006791223. The reversal of 7006791168 is 8611976007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7006791163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22823271 + ... + 22823577.

It is an arithmetic number, because the mean of its divisors is an integer number (70578816).

Almost surely, 2^7006791168 is an apocalyptic number.

7006791168 is a gapful number since it is divisible by the number (78) 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 7006791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292610560).

7006791168 is an abundant number, since it is smaller than the sum of its proper divisors (15578429952).

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

7006791168 is a wasteful number, since it uses less digits than its factorization.

7006791168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 7006791168 is about 83706.5778060482. The cubic root of 7006791168 is about 1913.5496036362.

The spelling of 7006791168 in words is "seven billion, six million, seven hundred ninety-one thousand, one hundred sixty-eight".