729210081600 has 3780 divisors, whose sum is σ = 3741424942332. Its totient is φ = 137952460800.

The previous prime is 729210081599. The next prime is 729210081653. The reversal of 729210081600 is 6180012927.

729210081600 is a `hidden beast` number, since 7 + 29 + 21 + 0 + 0 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 65037240576 + 664172841024 = 255024^2 + 814968^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

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 539 ways as a sum of consecutive naturals, for example, 9989179164 + ... + 9989179236.

Almost surely, 2^729210081600 is an apocalyptic number.

729210081600 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 729210081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870712471166).

729210081600 is an abundant number, since it is smaller than the sum of its proper divisors (3012214860732).

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

729210081600 is a wasteful number, since it uses less digits than its factorization.

729210081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 729210081600 in words is "seven hundred twenty-nine billion, two hundred ten million, eighty-one thousand, six hundred".