730968883200 has 1026 divisors, whose sum is σ = 2879005668786. Its totient is φ = 183458856960.

The previous prime is 730968883189. The next prime is 730968883207. The reversal of 730968883200 is 2388869037.

730968883200 is a `hidden beast` number, since 7 + 309 + 6 + 8 + 8 + 8 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 110075314176 + 620893569024 = 331776^2 + 787968^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (730968883207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 42998169592 + ... + 42998169608.

Almost surely, 2^730968883200 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 730968883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439502834393).

730968883200 is an abundant number, since it is smaller than the sum of its proper divisors (2148036785586).

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

730968883200 is an frugal number, since it uses more digits than its factorization.

730968883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 730968883200 in words is "seven hundred thirty billion, nine hundred sixty-eight million, eight hundred eighty-three thousand, two hundred".