6761267200 has 180 divisors, whose sum is σ = 17772034392. Its totient is φ = 2542796800.

The previous prime is 6761267171. The next prime is 6761267209. The reversal of 6761267200 is 27621676.

It is a self number, because there is not a number n which added to its sum of digits gives 6761267200.

It is not an unprimeable number, because it can be changed into a prime (6761267209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6962715 + ... + 6963685.

Almost surely, 2^6761267200 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 6761267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886017196).

6761267200 is an abundant number, since it is smaller than the sum of its proper divisors (11010767192).

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

6761267200 is an equidigital number, since it uses as much as digits as its factorization.

6761267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 6761267200 is about 82226.9250306735. The cubic root of 6761267200 is about 1890.9325297435.

Adding to 6761267200 its reverse (27621676), we get a palindrome (6788888876).

It can be divided in two parts, 676 and 1267200, that added together give a square (1267876 = 1126²).

The spelling of 6761267200 in words is "six billion, seven hundred sixty-one million, two hundred sixty-seven thousand, two hundred".