729568764288 has 1536 divisors, whose sum is σ = 2946021120000. Its totient is φ = 172725239808.

The previous prime is 729568764241. The next prime is 729568764391. The reversal of 729568764288 is 882467865927.

729568764288 is a `hidden beast` number, since 72 + 9 + 5 + 68 + 76 + 428 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2090454738 + ... + 2090455086.

It is an arithmetic number, because the mean of its divisors is an integer number (1917982500).

Almost surely, 2^729568764288 is an apocalyptic number.

729568764288 is a gapful number since it is divisible by the number (78) 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 729568764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473010560000).

729568764288 is an abundant number, since it is smaller than the sum of its proper divisors (2216452355712).

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

729568764288 is a wasteful number, since it uses less digits than its factorization.

729568764288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

It can be divided in two parts, 729568 and 764288, that added together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 729568764288 in words is "seven hundred twenty-nine billion, five hundred sixty-eight million, seven hundred sixty-four thousand, two hundred eighty-eight".