729425809116 has 192 divisors, whose sum is σ = 1934410383360. Its totient is φ = 237656099520.

The previous prime is 729425809081. The next prime is 729425809153. The reversal of 729425809116 is 611908524927.

It is a happy number.

729425809116 is a `hidden beast` number, since 7 + 2 + 9 + 42 + 580 + 9 + 1 + 16 = 666.

It is a super-2 number, since 2×729425809116² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298088605 + ... + 298091051.

It is an arithmetic number, because the mean of its divisors is an integer number (10075054080).

Almost surely, 2^729425809116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729425809116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967205191680).

729425809116 is an abundant number, since it is smaller than the sum of its proper divisors (1204984574244).

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

729425809116 is a wasteful number, since it uses less digits than its factorization.

729425809116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 729425809116 in words is "seven hundred twenty-nine billion, four hundred twenty-five million, eight hundred nine thousand, one hundred sixteen".