730912896000 has 1408 divisors, whose sum is σ = 3133847608320. Its totient is φ = 166617907200.

The previous prime is 730912895987. The next prime is 730912896023. The reversal of 730912896000 is 698219037.

730912896000 is a `hidden beast` number, since 7 + 30 + 9 + 1 + 2 + 8 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1959551814 + ... + 1959552186.

It is an arithmetic number, because the mean of its divisors is an integer number (2225744040).

Almost surely, 2^730912896000 is an apocalyptic number.

730912896000 is a gapful number since it is divisible by the number (70) 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 730912896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566923804160).

730912896000 is an abundant number, since it is smaller than the sum of its proper divisors (2402934712320).

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

730912896000 is an frugal number, since it uses more digits than its factorization.

730912896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 730912896000 in words is "seven hundred thirty billion, nine hundred twelve million, eight hundred ninety-six thousand".