730406188512 has 1344 divisors, whose sum is σ = 2991102750720. Its totient is φ = 169305292800.

The previous prime is 730406188511. The next prime is 730406188517. The reversal of 730406188512 is 215881604037.

730406188512 is a `hidden beast` number, since 7 + 30 + 40 + 61 + 8 + 8 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730406188511) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 723890664 + ... + 723891672.

It is an arithmetic number, because the mean of its divisors is an integer number (2225522880).

Almost surely, 2^730406188512 is an apocalyptic number.

730406188512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730406188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495551375360).

730406188512 is an abundant number, since it is smaller than the sum of its proper divisors (2260696562208).

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

730406188512 is a wasteful number, since it uses less digits than its factorization.

730406188512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 730406188512 in words is "seven hundred thirty billion, four hundred six million, one hundred eighty-eight thousand, five hundred twelve".