729415680 has 288 divisors, whose sum is σ = 2717898624. Its totient is φ = 163577856.

The previous prime is 729415679. The next prime is 729415691. The reversal of 729415680 is 86514927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13762534 + ... + 13762586.

It is an arithmetic number, because the mean of its divisors is an integer number (9437148).

Almost surely, 2^729415680 is an apocalyptic number.

729415680 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 729415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358949312).

729415680 is an abundant number, since it is smaller than the sum of its proper divisors (1988482944).

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

729415680 is an frugal number, since it uses more digits than its factorization.

729415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 729415680 is about 27007.6966807612. The cubic root of 729415680 is about 900.1710292252.

The spelling of 729415680 in words is "seven hundred twenty-nine million, four hundred fifteen thousand, six hundred eighty".