4563479067264 has 448 divisors, whose sum is σ = 14695984182600. Its totient is φ = 1402546544640.

The previous prime is 4563479067233. The next prime is 4563479067269. The reversal of 4563479067264 is 4627609743654.

4563479067264 is a `hidden beast` number, since 4 + 563 + 4 + 7 + 9 + 0 + 6 + 7 + 2 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4558908225600 + 4570841664 = 2135160^2 + 67608^2 .

It is not an unprimeable number, because it can be changed into a prime (4563479067269) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1490844294 + ... + 1490847354.

Almost surely, 2^{4563479067264} 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 4563479067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347992091300).

4563479067264 is an abundant number, since it is smaller than the sum of its proper divisors (10132505115336).

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

4563479067264 is a wasteful number, since it uses less digits than its factorization.

4563479067264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 4563479067264 in words is "four trillion, five hundred sixty-three billion, four hundred seventy-nine million, sixty-seven thousand, two hundred sixty-four".