729025174620 has 144 divisors (see below), whose sum is σ = 2266238022048. Its totient is φ = 189587589120.

The previous prime is 729025174609. The next prime is 729025174673. The reversal of 729025174620 is 26471520927.

729025174620 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 2 + 5 + 17 + 4 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19294587 + ... + 19332333.

It is an arithmetic number, because the mean of its divisors is an integer number (15737764042).

Almost surely, 2^729025174620 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 729025174620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133119011024).

729025174620 is an abundant number, since it is smaller than the sum of its proper divisors (1537212847428).

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

729025174620 is a wasteful number, since it uses less digits than its factorization.

729025174620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40420 (or 40415 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 729025174620 in words is "seven hundred twenty-nine billion, twenty-five million, one hundred seventy-four thousand, six hundred twenty".