4768194816 has 864 divisors, whose sum is σ = 19277045760. Its totient is φ = 1128038400.

The previous prime is 4768194811. The next prime is 4768194817. The reversal of 4768194816 is 6184918674.

4768194816 is a `hidden beast` number, since 476 + 8 + 1 + 94 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2322432) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (4768194811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153812721 + ... + 153812751.

Almost surely, 2^4768194816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638522880).

4768194816 is an abundant number, since it is smaller than the sum of its proper divisors (14508850944).

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

4768194816 is a wasteful number, since it uses less digits than its factorization.

4768194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4768194816 is about 69052.1166656027. The cubic root of 4768194816 is about 1683.1313028872.

The spelling of 4768194816 in words is "four billion, seven hundred sixty-eight million, one hundred ninety-four thousand, eight hundred sixteen".