6755711040 has 672 divisors, whose sum is σ = 26747150976. Its totient is φ = 1612431360.

The previous prime is 6755711009. The next prime is 6755711059. The reversal of 6755711040 is 401175576.

6755711040 is a `hidden beast` number, since 6 + 75 + 571 + 10 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6755710986 and 6755711004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41445999 + ... + 41446161.

It is an arithmetic number, because the mean of its divisors is an integer number (39802308).

Almost surely, 2^6755711040 is an apocalyptic number.

6755711040 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 6755711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373575488).

6755711040 is an abundant number, since it is smaller than the sum of its proper divisors (19991439936).

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

6755711040 is a wasteful number, since it uses less digits than its factorization.

6755711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 6755711040 is about 82193.1325598435. The cubic root of 6755711040 is about 1890.4144215945.

The spelling of 6755711040 in words is "six billion, seven hundred fifty-five million, seven hundred eleven thousand, forty".