4682552864 has 36 divisors (see below), whose sum is σ = 10133043102. Its totient is φ = 2128431360.

The previous prime is 4682552863. The next prime is 4682552951.

4682552864 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4212010000 + 470542864 = 64900^2 + 21692^2 .

It is not an unprimeable number, because it can be changed into a prime (4682552863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 600797 + ... + 608540.

Almost surely, 2^4682552864 is an apocalyptic number.

4682552864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4682552864 is an abundant number, since it is smaller than the sum of its proper divisors (5450490238).

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

4682552864 is a wasteful number, since it uses less digits than its factorization.

4682552864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209369 (or 1209350 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The square root of 4682552864 is about 68429.1813775380. The cubic root of 4682552864 is about 1672.9934078097.

The spelling of 4682552864 in words is "four billion, six hundred eighty-two million, five hundred fifty-two thousand, eight hundred sixty-four".