730598400000 has 1344 divisors, whose sum is σ = 3112570782720. Its totient is φ = 165888000000.

The previous prime is 730598399959. The next prime is 730598400001. The reversal of 730598400000 is 4895037.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×730598400000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730598400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4838399925 + ... + 4838400075.

It is an arithmetic number, because the mean of its divisors is an integer number (2315900880).

Almost surely, 2^730598400000 is an apocalyptic number.

730598400000 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 730598400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556285391360).

730598400000 is an abundant number, since it is smaller than the sum of its proper divisors (2381972382720).

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

730598400000 is an frugal number, since it uses more digits than its factorization.

730598400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 730598400000 in words is "seven hundred thirty billion, five hundred ninety-eight million, four hundred thousand".