4506264576 has 330 divisors, whose sum is σ = 14824066950. Its totient is φ = 1362493440.

The previous prime is 4506264559. The next prime is 4506264601. The reversal of 4506264576 is 6754626054.

4506264576 is a `hidden beast` number, since 4 + 50 + 6 + 26 + 4 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4014489600 + 491774976 = 63360^2 + 22176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10036000 + ... + 10036448.

It is an arithmetic number, because the mean of its divisors is an integer number (44921415).

Almost surely, 2^4506264576 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 4506264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412033475).

4506264576 is an abundant number, since it is smaller than the sum of its proper divisors (10317802374).

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

4506264576 is a wasteful number, since it uses less digits than its factorization.

4506264576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 465 counting only the distinct ones).

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

The square root of 4506264576 is about 67128.7164781213. The cubic root of 4506264576 is about 1651.7293867736.

The spelling of 4506264576 in words is "four billion, five hundred six million, two hundred sixty-four thousand, five hundred seventy-six".