729643994240 has 384 divisors, whose sum is σ = 2130212390400. Its totient is φ = 237971865600.

The previous prime is 729643994213. The next prime is 729643994243. The reversal of 729643994240 is 42499346927.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 729643994240.

It is not an unprimeable number, because it can be changed into a prime (729643994243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57351080 + ... + 57363800.

It is an arithmetic number, because the mean of its divisors is an integer number (5547428100).

Almost surely, 2^729643994240 is an apocalyptic number.

729643994240 is a gapful number since it is divisible by the number (70) 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 729643994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065106195200).

729643994240 is an abundant number, since it is smaller than the sum of its proper divisors (1400568396160).

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

729643994240 is a wasteful number, since it uses less digits than its factorization.

729643994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 59.

The spelling of 729643994240 in words is "seven hundred twenty-nine billion, six hundred forty-three million, nine hundred ninety-four thousand, two hundred forty".