6765054120 has 1024 divisors, whose sum is σ = 28740096000. Its totient is φ = 1393459200.

The previous prime is 6765054097. The next prime is 6765054187. The reversal of 6765054120 is 214505676.

It is a happy number.

6765054120 is a `hidden beast` number, since 67 + 6 + 50 + 541 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 157326819 + ... + 157326861.

It is an arithmetic number, because the mean of its divisors is an integer number (28066500).

Almost surely, 2^6765054120 is an apocalyptic number.

6765054120 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 6765054120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048000).

6765054120 is an abundant number, since it is smaller than the sum of its proper divisors (21975041880).

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

6765054120 is a wasteful number, since it uses less digits than its factorization.

6765054120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6765054120 is about 82249.9490577350. The cubic root of 6765054120 is about 1891.2854948273.

Adding to 6765054120 its reverse (214505676), we get a palindrome (6979559796).

It can be divided in two parts, 676505 and 4120, that added together give a square (680625 = 825²).

The spelling of 6765054120 in words is "six billion, seven hundred sixty-five million, fifty-four thousand, one hundred twenty".