6761348352 has 324 divisors, whose sum is σ = 21769908160. Its totient is φ = 2016368640.

The previous prime is 6761348339. The next prime is 6761348353. The reversal of 6761348352 is 2538431676.

6761348352 is a `hidden beast` number, since 67 + 61 + 3 + 483 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6761348298 and 6761348307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761348353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22023783 + ... + 22024089.

Almost surely, 2^6761348352 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 6761348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884954080).

6761348352 is an abundant number, since it is smaller than the sum of its proper divisors (15008559808).

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

6761348352 is a wasteful number, since it uses less digits than its factorization.

6761348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 402 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 6761348352 is about 82227.4184928604. The cubic root of 6761348352 is about 1890.9400950089.

It can be divided in two parts, 676134 and 8352, that added together give a palindrome (684486).

The spelling of 6761348352 in words is "six billion, seven hundred sixty-one million, three hundred forty-eight thousand, three hundred fifty-two".