730743882624 has 768 divisors, whose sum is σ = 2607989529600. Its totient is φ = 191660359680.

The previous prime is 730743882619. The next prime is 730743882637. The reversal of 730743882624 is 426288347037.

It is a happy number.

730743882624 is a `hidden beast` number, since 7 + 3 + 0 + 7 + 4 + 3 + 8 + 8 + 2 + 624 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1350727794 + ... + 1350728334.

It is an arithmetic number, because the mean of its divisors is an integer number (3395819700).

Almost surely, 2^730743882624 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 730743882624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303994764800).

730743882624 is an abundant number, since it is smaller than the sum of its proper divisors (1877245646976).

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

730743882624 is a wasteful number, since it uses less digits than its factorization.

730743882624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 730743882624 in words is "seven hundred thirty billion, seven hundred forty-three million, eight hundred eighty-two thousand, six hundred twenty-four".