729570816 has 240 divisors, whose sum is σ = 2390628240. Its totient is φ = 212336640.

The previous prime is 729570791. The next prime is 729570823. The reversal of 729570816 is 618075927.

729570816 is a `hidden beast` number, since 72 + 9 + 570 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137856 + ... + 1138496.

It is an arithmetic number, because the mean of its divisors is an integer number (9960951).

Almost surely, 2^729570816 is an apocalyptic number.

729570816 is a gapful number since it is divisible by the number (76) 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 729570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195314120).

729570816 is an abundant number, since it is smaller than the sum of its proper divisors (1661057424).

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

729570816 is a wasteful number, since it uses less digits than its factorization.

729570816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 729570816 is about 27010.5685982358. The cubic root of 729570816 is about 900.2348424195.

The spelling of 729570816 in words is "seven hundred twenty-nine million, five hundred seventy thousand, eight hundred sixteen".