730583244144 has 720 divisors, whose sum is σ = 2400113570400. Its totient is φ = 215099089920.

The previous prime is 730583244029. The next prime is 730583244179. The reversal of 730583244144 is 441442385037.

730583244144 is a `hidden beast` number, since 7 + 3 + 0 + 583 + 24 + 4 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 730583244144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8208800452 + ... + 8208800540.

It is an arithmetic number, because the mean of its divisors is an integer number (3333491070).

Almost surely, 2^730583244144 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 730583244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200056785200).

730583244144 is an abundant number, since it is smaller than the sum of its proper divisors (1669530326256).

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

730583244144 is an equidigital number, since it uses as much as digits as its factorization.

730583244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 730583244144 in words is "seven hundred thirty billion, five hundred eighty-three million, two hundred forty-four thousand, one hundred forty-four".