4506763968 has 224 divisors, whose sum is σ = 15217241600. Its totient is φ = 1281235968.

The previous prime is 4506763949. The next prime is 4506764011. The reversal of 4506763968 is 8693676054.

4506763968 is a `hidden beast` number, since 4 + 506 + 76 + 3 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769171 + ... + 2770797.

Almost surely, 2^4506763968 is an apocalyptic number.

4506763968 is a gapful number since it is divisible by the number (48) 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 4506763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608620800).

4506763968 is an abundant number, since it is smaller than the sum of its proper divisors (10710477632).

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

4506763968 is a wasteful number, since it uses less digits than its factorization.

4506763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4506763968 is about 67132.4360350494. The cubic root of 4506763968 is about 1651.7904003514.

The spelling of 4506763968 in words is "four billion, five hundred six million, seven hundred sixty-three thousand, nine hundred sixty-eight".