4635027072 has 192 divisors, whose sum is σ = 14454858600. Its totient is φ = 1417125888.

The previous prime is 4635027053. The next prime is 4635027119. The reversal of 4635027072 is 2707205364.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4609866816 + 25160256 = 67896^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2589954 + ... + 2591742.

Almost surely, 2^4635027072 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 4635027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227429300).

4635027072 is an abundant number, since it is smaller than the sum of its proper divisors (9819831528).

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

4635027072 is a wasteful number, since it uses less digits than its factorization.

4635027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4635027072 is about 68081.0331296463. The cubic root of 4635027072 is about 1667.3141082102.

The spelling of 4635027072 in words is "four billion, six hundred thirty-five million, twenty-seven thousand, seventy-two".