729057870643200 has 3072 divisors, whose sum is σ = 2939741071196160. Its totient is φ = 155940028416000.

The previous prime is 729057870643199. The next prime is 729057870643211. The reversal of 729057870643200 is 2346078750927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2374781337447 + ... + 2374781337753.

It is an arithmetic number, because the mean of its divisors is an integer number (956946963280).

Almost surely, 2^{729057870643200} is an apocalyptic number.

729057870643200 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 729057870643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469870535598080).

729057870643200 is an abundant number, since it is smaller than the sum of its proper divisors (2210683200552960).

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

729057870643200 is a wasteful number, since it uses less digits than its factorization.

729057870643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 729057870643200 in words is "seven hundred twenty-nine trillion, fifty-seven billion, eight hundred seventy million, six hundred forty-three thousand, two hundred".