4965730204320 has 288 divisors, whose sum is σ = 17863307542080. Its totient is φ = 1252680007680.

The previous prime is 4965730204249. The next prime is 4965730204321. The reversal of 4965730204320 is 234020375694.

4965730204320 is a `hidden beast` number, since 4 + 96 + 5 + 7 + 30 + 204 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4965730204321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18774432 + ... + 19037088.

It is an arithmetic number, because the mean of its divisors is an integer number (62025373410).

Almost surely, 2^{4965730204320} is an apocalyptic number.

4965730204320 is a gapful number since it is divisible by the number (40) 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 4965730204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931653771040).

4965730204320 is an abundant number, since it is smaller than the sum of its proper divisors (12897577337760).

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

4965730204320 is a wasteful number, since it uses less digits than its factorization.

4965730204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263388 (or 263377 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4965730204320 in words is "four trillion, nine hundred sixty-five billion, seven hundred thirty million, two hundred four thousand, three hundred twenty".