4668658030080 has 1920 divisors, whose sum is σ = 18837716451840. Its totient is φ = 1058450964480.

The previous prime is 4668658030051. The next prime is 4668658030081. The reversal of 4668658030080 is 800308568664.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 4668658029999 and 4668658030026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668658030081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34077795772 + ... + 34077795908.

It is an arithmetic number, because the mean of its divisors is an integer number (9811310652).

Almost surely, 2^{4668658030080} is an apocalyptic number.

4668658030080 is a gapful number since it is divisible by the number (40) 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 4668658030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418858225920).

4668658030080 is an abundant number, since it is smaller than the sum of its proper divisors (14169058421760).

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

4668658030080 is a wasteful number, since it uses less digits than its factorization.

4668658030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4668658030080 in words is "four trillion, six hundred sixty-eight billion, six hundred fifty-eight million, thirty thousand, eighty".