730233048096 has 252 divisors, whose sum is σ = 2170088492922. Its totient is φ = 241769152512.

The previous prime is 730233048059. The next prime is 730233048131. The reversal of 730233048096 is 690840332037.

730233048096 is a `hidden beast` number, since 7 + 30 + 23 + 30 + 480 + 96 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 706547838096 + 23685210000 = 840564^2 + 153900^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2092358130 + ... + 2092358478.

Almost surely, 2^730233048096 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 730233048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085044246461).

730233048096 is an abundant number, since it is smaller than the sum of its proper divisors (1439855444826).

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

730233048096 is an frugal number, since it uses more digits than its factorization.

730233048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 730233048096 in words is "seven hundred thirty billion, two hundred thirty-three million, forty-eight thousand, ninety-six".