4666289472 has 280 divisors, whose sum is σ = 15776499816. Its totient is φ = 1350991872.

The previous prime is 4666289389. The next prime is 4666289501. The reversal of 4666289472 is 2749826664.

It can be written as a sum of positive squares in 4 ways, for example, as 66194496 + 4600094976 = 8136^2 + 67824^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1143628 + ... + 1147700.

Almost surely, 2^4666289472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4666289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888249908).

4666289472 is an abundant number, since it is smaller than the sum of its proper divisors (11110210344).

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

4666289472 is a wasteful number, since it uses less digits than its factorization.

4666289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4108 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 4666289472 is about 68310.2442683380. The cubic root of 4666289472 is about 1671.0542868883.

It can be divided in two parts, 466628 and 9472, that added together give a square (476100 = 690²).

The spelling of 4666289472 in words is "four billion, six hundred sixty-six million, two hundred eighty-nine thousand, four hundred seventy-two".