4913664768 has 360 divisors, whose sum is σ = 15866329248. Its totient is φ = 1506705408.

The previous prime is 4913664761. The next prime is 4913664797. The reversal of 4913664768 is 8674663194.

4913664768 is a `hidden beast` number, since 491 + 36 + 64 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4913664761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18683005 + ... + 18683267.

Almost surely, 2^4913664768 is an apocalyptic number.

4913664768 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 4913664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933164624).

4913664768 is an abundant number, since it is smaller than the sum of its proper divisors (10952664480).

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

4913664768 is a wasteful number, since it uses less digits than its factorization.

4913664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 338 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4913664768 is about 70097.5375316423. The cubic root of 4913664768 is about 1700.0766710518.

The spelling of 4913664768 in words is "four billion, nine hundred thirteen million, six hundred sixty-four thousand, seven hundred sixty-eight".