6727717992996 has 2304 divisors, whose sum is σ = 25848216576000. Its totient is φ = 1448500838400.

The previous prime is 6727717992991. The next prime is 6727717992997. The reversal of 6727717992996 is 6992997177276.

6727717992996 is a `hidden beast` number, since 6 + 7 + 277 + 179 + 92 + 9 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6727717992991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 92160520416 + ... + 92160520488.

It is an arithmetic number, because the mean of its divisors is an integer number (11218844000).

Almost surely, 2^{6727717992996} is an apocalyptic number.

6727717992996 is a gapful number since it is divisible by the number (66) 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 6727717992996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924108288000).

6727717992996 is an abundant number, since it is smaller than the sum of its proper divisors (19120498583004).

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

6727717992996 is a wasteful number, since it uses less digits than its factorization.

6727717992996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its digits is 2268426384, while the sum is 81.

The spelling of 6727717992996 in words is "six trillion, seven hundred twenty-seven billion, seven hundred seventeen million, nine hundred ninety-two thousand, nine hundred ninety-six".