4618788768 has 108 divisors (see below), whose sum is σ = 14437402434. Its totient is φ = 1399622400.

The previous prime is 4618788761. The next prime is 4618788787. The reversal of 4618788768 is 8678878164.

4618788768 is a `hidden beast` number, since 4 + 618 + 7 + 8 + 8 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3357970704 + 1260818064 = 57948^2 + 35508^2 .

It is not an unprimeable number, because it can be changed into a prime (4618788761) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31423 + ... + 101118.

Almost surely, 2^4618788768 is an apocalyptic number.

4618788768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4618788768 is an abundant number, since it is smaller than the sum of its proper divisors (9818613666).

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

4618788768 is a wasteful number, since it uses less digits than its factorization.

4618788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132579 (or 132557 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 63.

The square root of 4618788768 is about 67961.6713155290. The cubic root of 4618788768 is about 1665.3647465383.

The spelling of 4618788768 in words is "four billion, six hundred eighteen million, seven hundred eighty-eight thousand, seven hundred sixty-eight".