6741000000 has 588 divisors, whose sum is σ = 27860268384. Its totient is φ = 1526400000.

The previous prime is 6740999999. The next prime is 6741000001. The reversal of 6741000000 is 1476.

It is an interprime number because it is at equal distance from previous prime (6740999999) and next prime (6741000001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6741000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 62999947 + ... + 63000053.

Almost surely, 2^6741000000 is an apocalyptic number.

6741000000 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 6741000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13930134192).

6741000000 is an abundant number, since it is smaller than the sum of its proper divisors (21119268384).

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

6741000000 is an equidigital number, since it uses as much as digits as its factorization.

6741000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 6741000000 is about 82103.5931004241. The cubic root of 6741000000 is about 1889.0412538890.

Adding to 6741000000 its reverse (1476), we get a palindrome (6741001476).

The spelling of 6741000000 in words is "six billion, seven hundred forty-one million", and thus it is an aban number.