729864000 has 448 divisors, whose sum is σ = 2789529600. Its totient is φ = 186624000.

The previous prime is 729863999. The next prime is 729864019. The reversal of 729864000 is 468927.

729864000 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695946 + ... + 6696054.

Almost surely, 2^729864000 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 729864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394764800).

729864000 is an abundant number, since it is smaller than the sum of its proper divisors (2059665600).

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

729864000 is a wasteful number, since it uses less digits than its factorization.

729864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 729864000 is about 27015.9952620665. The cubic root of 729864000 is about 900.3554151816.

The spelling of 729864000 in words is "seven hundred twenty-nine million, eight hundred sixty-four thousand".