730128556800 has 1080 divisors, whose sum is σ = 2782216926720. Its totient is φ = 188852428800.

The previous prime is 730128556799. The next prime is 730128556811. The reversal of 730128556800 is 8655821037.

730128556800 is a `hidden beast` number, since 7 + 3 + 0 + 1 + 2 + 85 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 3054931081 + ... + 3054931319.

It is an arithmetic number, because the mean of its divisors is an integer number (2576126784).

Almost surely, 2^730128556800 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 730128556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391108463360).

730128556800 is an abundant number, since it is smaller than the sum of its proper divisors (2052088369920).

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

730128556800 is a wasteful number, since it uses less digits than its factorization.

730128556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 730128556800 in words is "seven hundred thirty billion, one hundred twenty-eight million, five hundred fifty-six thousand, eight hundred".