4668817104 has 320 divisors, whose sum is σ = 16827494400. Its totient is φ = 1208452608.

The previous prime is 4668817099. The next prime is 4668817141. The reversal of 4668817104 is 4017188664.

4668817104 is a `hidden beast` number, since 466 + 8 + 81 + 7 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4668817104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319722 + ... + 1323254.

It is an arithmetic number, because the mean of its divisors is an integer number (52585920).

Almost surely, 2^4668817104 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 4668817104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413747200).

4668817104 is an abundant number, since it is smaller than the sum of its proper divisors (12158677296).

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

4668817104 is a wasteful number, since it uses less digits than its factorization.

4668817104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4668817104 is about 68328.7428832113. The cubic root of 4668817104 is about 1671.3559575479.

The spelling of 4668817104 in words is "four billion, six hundred sixty-eight million, eight hundred seventeen thousand, one hundred four".