730368507456 has 189 divisors, whose sum is σ = 2435739202299. Its totient is φ = 208635694848.

The previous prime is 730368507403. The next prime is 730368507469. The reversal of 730368507456 is 654705863037.

The square root of 730368507456 is 854616.

It is a perfect power (a square), and thus also a powerful number.

730368507456 is a `hidden beast` number, since 7 + 30 + 3 + 68 + 507 + 45 + 6 = 666.

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 26 ways as a sum of consecutive naturals, for example, 143572945 + ... + 143578031.

Almost surely, 2^730368507456 is an apocalyptic number.

730368507456 is the 854616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730368507456

730368507456 is an abundant number, since it is smaller than the sum of its proper divisors (1705370694843).

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

730368507456 is an frugal number, since it uses more digits than its factorization.

730368507456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 730368507456 in words is "seven hundred thirty billion, three hundred sixty-eight million, five hundred seven thousand, four hundred fifty-six".