4517761968 has 60 divisors (see below), whose sum is σ = 13387198968. Its totient is φ = 1417336320.

The previous prime is 4517761939. The next prime is 4517761973. The reversal of 4517761968 is 8691677154.

4517761968 is a `hidden beast` number, since 4 + 5 + 17 + 7 + 619 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 920298 + ... + 925193.

Almost surely, 2^4517761968 is an apocalyptic number.

4517761968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4517761968 is an abundant number, since it is smaller than the sum of its proper divisors (8869437000).

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

4517761968 is a wasteful number, since it uses less digits than its factorization.

4517761968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845522 (or 1845513 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 4517761968 is about 67214.2988358876. The cubic root of 4517761968 is about 1653.1329478062.

The spelling of 4517761968 in words is "four billion, five hundred seventeen million, seven hundred sixty-one thousand, nine hundred sixty-eight".