6776711010072 has 192 divisors, whose sum is σ = 19961493552000. Its totient is φ = 2068515348480.

The previous prime is 6776711010071. The next prime is 6776711010119. The reversal of 6776711010072 is 2700101176776.

It is a super-2 number, since 2×6776711010072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6776711010071) 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 47 ways as a sum of consecutive naturals, for example, 18233554 + ... + 18601502.

It is an arithmetic number, because the mean of its divisors is an integer number (103966112250).

Almost surely, 2^{6776711010072} 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 6776711010072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980746776000).

6776711010072 is an abundant number, since it is smaller than the sum of its proper divisors (13184782541928).

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

6776711010072 is a wasteful number, since it uses less digits than its factorization.

6776711010072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368386 (or 368379 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 6776711010072 in words is "six trillion, seven hundred seventy-six billion, seven hundred eleven million, ten thousand, seventy-two".