729401868 has 192 divisors, whose sum is σ = 2204608000. Its totient is φ = 206592768.

The previous prime is 729401867. The next prime is 729401917. The reversal of 729401868 is 868104927.

729401868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (729401863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986643 + ... + 987381.

Almost surely, 2^729401868 is an apocalyptic number.

729401868 is a gapful number since it is divisible by the number (78) 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 729401868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102304000).

729401868 is an abundant number, since it is smaller than the sum of its proper divisors (1475206132).

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

729401868 is a wasteful number, since it uses less digits than its factorization.

729401868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 729401868 is about 27007.4409746647. The cubic root of 729401868 is about 900.1653473984.

The spelling of 729401868 in words is "seven hundred twenty-nine million, four hundred one thousand, eight hundred sixty-eight".