730530938880 has 768 divisors, whose sum is σ = 2679364396800. Its totient is φ = 190890639360.

The previous prime is 730530938827. The next prime is 730530938881. The reversal of 730530938880 is 88839035037.

730530938880 is a `hidden beast` number, since 73 + 0 + 530 + 9 + 38 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730530938881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2348973925 + ... + 2348974235.

It is an arithmetic number, because the mean of its divisors is an integer number (3488755725).

Almost surely, 2^730530938880 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 730530938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339682198400).

730530938880 is an abundant number, since it is smaller than the sum of its proper divisors (1948833457920).

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

730530938880 is an frugal number, since it uses more digits than its factorization.

730530938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 730530938880 in words is "seven hundred thirty billion, five hundred thirty million, nine hundred thirty-eight thousand, eight hundred eighty".