4668021792 has 384 divisors, whose sum is σ = 16082035200. Its totient is φ = 1289945088.

The previous prime is 4668021791. The next prime is 4668021797. The reversal of 4668021792 is 2971208664.

It is a happy number.

4668021792 is a `hidden beast` number, since 466 + 80 + 21 + 7 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (4668021791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42825834 + ... + 42825942.

It is an arithmetic number, because the mean of its divisors is an integer number (41880300).

Almost surely, 2^4668021792 is an apocalyptic number.

4668021792 is a gapful number since it is divisible by the number (42) 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 4668021792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041017600).

4668021792 is an abundant number, since it is smaller than the sum of its proper divisors (11414013408).

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

4668021792 is a wasteful number, since it uses less digits than its factorization.

4668021792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4668021792 is about 68322.9228882957. The cubic root of 4668021792 is about 1671.2610495013.

The spelling of 4668021792 in words is "four billion, six hundred sixty-eight million, twenty-one thousand, seven hundred ninety-two".