4782785293764 has 81 divisors (see below), whose sum is σ = 12133927248807. Its totient is φ = 1588466325888.

The previous prime is 4782785293717. The next prime is 4782785293787. The reversal of 4782785293764 is 4673925872874.

The square root of 4782785293764 is 2186958.

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

4782785293764 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 7 + 8 + 529 + 37 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2613621888900 + 2169163404864 = 1616670^2 + 1472808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4782785293692 and 4782785293701.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5104359504 + ... + 5104360440.

Almost surely, 2^{4782785293764} is an apocalyptic number.

4782785293764 is the 2186958-th square number.

It is an amenable number.

4782785293764 is an abundant number, since it is smaller than the sum of its proper divisors (7351141955043).

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

4782785293764 is an frugal number, since it uses more digits than its factorization.

4782785293764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 1331 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 4782785293764 in words is "four trillion, seven hundred eighty-two billion, seven hundred eighty-five million, two hundred ninety-three thousand, seven hundred sixty-four".