6727006080 has 192 divisors, whose sum is σ = 24595974000. Its totient is φ = 1688322048.

The previous prime is 6727006067. The next prime is 6727006081. The reversal of 6727006080 is 806007276.

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

It is a super-2 number, since 2×6727006080² = 90505221600713932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6727006081) 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 23 ways as a sum of consecutive naturals, for example, 63571 + ... + 132269.

Almost surely, 2^6727006080 is an apocalyptic number.

6727006080 is a gapful number since it is divisible by the number (60) 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 6727006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297987000).

6727006080 is an abundant number, since it is smaller than the sum of its proper divisors (17868967920).

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

6727006080 is a wasteful number, since it uses less digits than its factorization.

6727006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68741 (or 68726 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6727006080 is about 82018.3277078971. The cubic root of 6727006080 is about 1887.7331687446.

The spelling of 6727006080 in words is "six billion, seven hundred twenty-seven million, six thousand, eighty".