4768477668 has 48 divisors (see below), whose sum is σ = 12900236160. Its totient is φ = 1520383392.

The previous prime is 4768477663. The next prime is 4768477673. The reversal of 4768477668 is 8667748674.

4768477668 is a `hidden beast` number, since 47 + 68 + 477 + 6 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (4768477663) and next prime (4768477673).

It is not an unprimeable number, because it can be changed into a prime (4768477661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957355 + ... + 962322.

It is an arithmetic number, because the mean of its divisors is an integer number (268754920).

Almost surely, 2^4768477668 is an apocalyptic number.

It is an amenable number.

4768477668 is an abundant number, since it is smaller than the sum of its proper divisors (8131758492).

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

4768477668 is a wasteful number, since it uses less digits than its factorization.

4768477668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919713 (or 1919705 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The square root of 4768477668 is about 69054.1647404413. The cubic root of 4768477668 is about 1683.1645836611.

The spelling of 4768477668 in words is "four billion, seven hundred sixty-eight million, four hundred seventy-seven thousand, six hundred sixty-eight".