4786293817600 has 729 divisors, whose sum is σ = 13146530633509. Its totient is φ = 1725005004800.

The previous prime is 4786293817597. The next prime is 4786293817667. The reversal of 4786293817600 is 67183926874.

It is a happy number.

The square root of 4786293817600 is 2187760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4734906368256 + 51387449344 = 2175984^2 + 226688^2 .

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 116738873580 + ... + 116738873620.

Almost surely, 2^{4786293817600} is an apocalyptic number.

4786293817600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4786293817600 is the 2187760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4786293817600

4786293817600 is an abundant number, since it is smaller than the sum of its proper divisors (8360236815909).

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

4786293817600 is an equidigital number, since it uses as much as digits as its factorization.

4786293817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 4786293817600 in words is "four trillion, seven hundred eighty-six billion, two hundred ninety-three million, eight hundred seventeen thousand, six hundred".