4782552336 has 225 divisors, whose sum is σ = 14835508831. Its totient is φ = 1487130624.

The previous prime is 4782552283. The next prime is 4782552337. The reversal of 4782552336 is 6332552874.

The square root of 4782552336 is 69156.

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

4782552336 is a `hidden beast` number, since 4 + 78 + 25 + 523 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 583512336 + 4199040000 = 24156^2 + 64800^2 .

It is a Duffinian number.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 4782552291 and 4782552300.

It is not an unprimeable number, because it can be changed into a prime (4782552337) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42323416 + ... + 42323528.

Almost surely, 2^4782552336 is an apocalyptic number.

4782552336 is the 69156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4782552336

4782552336 is an abundant number, since it is smaller than the sum of its proper divisors (10052956495).

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

4782552336 is a wasteful number, since it uses less digits than its factorization.

4782552336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 135 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The cubic root of 4782552336 is about 1684.8189700058.

The spelling of 4782552336 in words is "four billion, seven hundred eighty-two million, five hundred fifty-two thousand, three hundred thirty-six".