6729649440 has 192 divisors, whose sum is σ = 21518493696. Its totient is φ = 1767693312.

The previous prime is 6729649439. The next prime is 6729649441. The reversal of 6729649440 is 449469276.

It is an interprime number because it is at equal distance from previous prime (6729649439) and next prime (6729649441).

It is not an unprimeable number, because it can be changed into a prime (6729649441) 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 31 ways as a sum of consecutive naturals, for example, 14534649 + ... + 14535111.

It is an arithmetic number, because the mean of its divisors is an integer number (112075488).

Almost surely, 2^6729649440 is an apocalyptic number.

6729649440 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 6729649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759246848).

6729649440 is an abundant number, since it is smaller than the sum of its proper divisors (14788844256).

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

6729649440 is a wasteful number, since it uses less digits than its factorization.

6729649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 6729649440 is about 82034.4405722377. The cubic root of 6729649440 is about 1887.9803963540.

The spelling of 6729649440 in words is "six billion, seven hundred twenty-nine million, six hundred forty-nine thousand, four hundred forty".