6727973760 has 192 divisors, whose sum is σ = 23278301280. Its totient is φ = 1790595072.

The previous prime is 6727973743. The next prime is 6727973767. The reversal of 6727973760 is 673797276.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6727973697 and 6727973706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6727973767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359549 + ... + 4361091.

Almost surely, 2^6727973760 is an apocalyptic number.

6727973760 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 6727973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639150640).

6727973760 is an abundant number, since it is smaller than the sum of its proper divisors (16550327520).

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

6727973760 is a wasteful number, since it uses less digits than its factorization.

6727973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 4667544, while the sum is 54.

The square root of 6727973760 is about 82024.2266650531. The cubic root of 6727973760 is about 1887.8236812265.

The spelling of 6727973760 in words is "six billion, seven hundred twenty-seven million, nine hundred seventy-three thousand, seven hundred sixty".