4517563680 has 576 divisors, whose sum is σ = 19139597568. Its totient is φ = 946667520.

The previous prime is 4517563679. The next prime is 4517563693. The reversal of 4517563680 is 863657154.

4517563680 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 5 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 7025439 + ... + 7026081.

It is an arithmetic number, because the mean of its divisors is an integer number (33228468).

Almost surely, 2^4517563680 is an apocalyptic number.

4517563680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4517563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569798784).

4517563680 is an abundant number, since it is smaller than the sum of its proper divisors (14622033888).

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

4517563680 is a wasteful number, since it uses less digits than its factorization.

4517563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4517563680 is about 67212.8237764193. The cubic root of 4517563680 is about 1653.1087616993.

The spelling of 4517563680 in words is "four billion, five hundred seventeen million, five hundred sixty-three thousand, six hundred eighty".