730408224000 has 576 divisors, whose sum is σ = 2985944532480. Its totient is φ = 154106265600.

The previous prime is 730408223939. The next prime is 730408224001. The reversal of 730408224000 is 422804037.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730408224001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8694196 + ... + 8777804.

It is an arithmetic number, because the mean of its divisors is an integer number (5183931480).

Almost surely, 2^730408224000 is an apocalyptic number.

730408224000 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 730408224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492972266240).

730408224000 is an abundant number, since it is smaller than the sum of its proper divisors (2255536308480).

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

730408224000 is a wasteful number, since it uses less digits than its factorization.

730408224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83663 (or 83639 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 730408224000 in words is "seven hundred thirty billion, four hundred eight million, two hundred twenty-four thousand".