4777380661284 has 1215 divisors, whose sum is σ = 17059038441291. Its totient is φ = 1161405241920.

The previous prime is 4777380661237. The next prime is 4777380661309. The reversal of 4777380661284 is 4821660837774.

The square root of 4777380661284 is 2185722.

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

4777380661284 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 3 + 8 + 0 + 6 + 612 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 57558803107 + ... + 57558803189.

Almost surely, 2^{4777380661284} is an apocalyptic number.

4777380661284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4777380661284 is the 2185722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4777380661284

4777380661284 is an abundant number, since it is smaller than the sum of its proper divisors (12281657780007).

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

4777380661284 is a wasteful number, since it uses less digits than its factorization.

4777380661284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 4777380661284 in words is "four trillion, seven hundred seventy-seven billion, three hundred eighty million, six hundred sixty-one thousand, two hundred eighty-four".