4797983584900 has 81 divisors (see below), whose sum is σ = 11444756906863. Its totient is φ = 1744633686400.

The previous prime is 4797983584859. The next prime is 4797983584907. The reversal of 4797983584900 is 94853897974.

The square root of 4797983584900 is 2190430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2357864665156 + 2440118919744 = 1535534^2 + 1562088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4797983584907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240937344 + ... + 240957256.

Almost surely, 2^{4797983584900} is an apocalyptic number.

4797983584900 is the 2190430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4797983584900

4797983584900 is an abundant number, since it is smaller than the sum of its proper divisors (6646773321963).

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

4797983584900 is an equidigital number, since it uses as much as digits as its factorization.

4797983584900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39862 (or 19931 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 73.

The spelling of 4797983584900 in words is "four trillion, seven hundred ninety-seven billion, nine hundred eighty-three million, five hundred eighty-four thousand, nine hundred".