6729264 has 80 divisors (see below), whose sum is σ = 19884640. Its totient is φ = 2177280.

The previous prime is 6729259. The next prime is 6729269. The reversal of 6729264 is 4629276.

It is a happy number.

6729264 is nontrivially palindromic in base 11.

6729264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6729259) and next prime (6729269).

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

It is not an unprimeable number, because it can be changed into a prime (6729269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15774 + ... + 16194.

It is an arithmetic number, because the mean of its divisors is an integer number (248558).

Almost surely, 2^6729264 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 6729264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942320).

6729264 is an abundant number, since it is smaller than the sum of its proper divisors (13155376).

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

6729264 is a wasteful number, since it uses less digits than its factorization.

6729264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 6729264 is about 2594.0824967607. The cubic root of 6729264 is about 188.7944351036.

The spelling of 6729264 in words is "six million, seven hundred twenty-nine thousand, two hundred sixty-four".