730043338752 has 1248 divisors, whose sum is σ = 2783991154560. Its totient is φ = 187280916480.

The previous prime is 730043338697. The next prime is 730043338771. The reversal of 730043338752 is 257833340037.

730043338752 is a `hidden beast` number, since 7 + 300 + 4 + 3 + 338 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 730043338698 and 730043338707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3029225352 + ... + 3029225592.

Almost surely, 2^730043338752 is an apocalyptic number.

730043338752 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 730043338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391995577280).

730043338752 is an abundant number, since it is smaller than the sum of its proper divisors (2053947815808).

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

730043338752 is a wasteful number, since it uses less digits than its factorization.

730043338752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

Adding to 730043338752 its reverse (257833340037), we get a palindrome (987876678789).

The spelling of 730043338752 in words is "seven hundred thirty billion, forty-three million, three hundred thirty-eight thousand, seven hundred fifty-two".