729375852441600 has 9360 divisors, whose sum is σ = 3589450413595200. Its totient is φ = 146079114854400.

The previous prime is 729375852441469. The next prime is 729375852441619. The reversal of 729375852441600 is 6144258573927.

It is a happy number.

729375852441600 is a `hidden beast` number, since 7 + 2 + 9 + 3 + 7 + 5 + 8 + 524 + 41 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 17789654937580 + ... + 17789654937620.

It is a 1-persistent number, because it is pandigital, but 2⋅729375852441600 = 1458751704883200 is not.

Almost surely, 2^{729375852441600} is an apocalyptic number.

729375852441600 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 729375852441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794725206797600).

729375852441600 is an abundant number, since it is smaller than the sum of its proper divisors (2860074561153600).

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

729375852441600 is a wasteful number, since it uses less digits than its factorization.

729375852441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 729375852441600 in words is "seven hundred twenty-nine trillion, three hundred seventy-five billion, eight hundred fifty-two million, four hundred forty-one thousand, six hundred".