729696240 has 720 divisors, whose sum is σ = 3226231008. Its totient is φ = 146313216.

The previous prime is 729696223. The next prime is 729696281. The reversal of 729696240 is 42696927.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16969659 + ... + 16969701.

Almost surely, 2^729696240 is an apocalyptic number.

729696240 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 729696240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613115504).

729696240 is an abundant number, since it is smaller than the sum of its proper divisors (2496534768).

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

729696240 is a wasteful number, since it uses less digits than its factorization.

729696240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 729696240 is about 27012.8902563202. The cubic root of 729696240 is about 900.2864273526.

The spelling of 729696240 in words is "seven hundred twenty-nine million, six hundred ninety-six thousand, two hundred forty".