729240744960 has 2464 divisors, whose sum is σ = 3428010351360. Its totient is φ = 144473849856.

The previous prime is 729240744949. The next prime is 729240745003. The reversal of 729240744960 is 69447042927.

729240744960 is a `hidden beast` number, since 72 + 92 + 40 + 7 + 449 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 729240744897 and 729240744906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6453457864 + ... + 6453457976.

Almost surely, 2^729240744960 is an apocalyptic number.

729240744960 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 729240744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714005175680).

729240744960 is an abundant number, since it is smaller than the sum of its proper divisors (2698769606400).

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

729240744960 is a wasteful number, since it uses less digits than its factorization.

729240744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 729240744960 in words is "seven hundred twenty-nine billion, two hundred forty million, seven hundred forty-four thousand, nine hundred sixty".