730718820000 has 1800 divisors, whose sum is σ = 3098543770476. Its totient is φ = 168210432000.

The previous prime is 730718819951. The next prime is 730718820047. The reversal of 730718820000 is 28817037.

It can be written as a sum of positive squares in 30 ways, for example, as 713950641936 + 16768178064 = 844956^2 + 129492^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 4654259922 + ... + 4654260078.

Almost surely, 2^730718820000 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 730718820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549271885238).

730718820000 is an abundant number, since it is smaller than the sum of its proper divisors (2367824950476).

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

730718820000 is a wasteful number, since it uses less digits than its factorization.

730718820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 730718820000 in words is "seven hundred thirty billion, seven hundred eighteen million, eight hundred twenty thousand".