729783648 has 192 divisors, whose sum is σ = 2397911040. Its totient is φ = 213926400.

The previous prime is 729783619. The next prime is 729783689. The reversal of 729783648 is 846387927.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 729783594 and 729783603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293386 + ... + 295862.

It is an arithmetic number, because the mean of its divisors is an integer number (12489120).

Almost surely, 2^729783648 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 729783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198955520).

729783648 is an abundant number, since it is smaller than the sum of its proper divisors (1668127392).

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

729783648 is a wasteful number, since it uses less digits than its factorization.

729783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2524 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 729783648 is about 27014.5081021291. The cubic root of 729783648 is about 900.3223734033.

The spelling of 729783648 in words is "seven hundred twenty-nine million, seven hundred eighty-three thousand, six hundred forty-eight".