729646368 has 48 divisors (see below), whose sum is σ = 2089444896. Its totient is φ = 221104640.

The previous prime is 729646363. The next prime is 729646391. The reversal of 729646368 is 863646927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 729646368.

It is not an unprimeable number, because it can be changed into a prime (729646363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344421 + ... + 346532.

It is an arithmetic number, because the mean of its divisors is an integer number (43530102).

Almost surely, 2^729646368 is an apocalyptic number.

It is an amenable number.

729646368 is an abundant number, since it is smaller than the sum of its proper divisors (1359798528).

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

729646368 is a wasteful number, since it uses less digits than its factorization.

729646368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690977 (or 690969 counting only the distinct ones).

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

The square root of 729646368 is about 27011.9671257019. The cubic root of 729646368 is about 900.2659164856.

The spelling of 729646368 in words is "seven hundred twenty-nine million, six hundred forty-six thousand, three hundred sixty-eight".