4668385075200 has 3024 divisors, whose sum is σ = 21965856666624. Its totient is φ = 936404582400.

The previous prime is 4668385075187. The next prime is 4668385075223. The reversal of 4668385075200 is 25705838664.

4668385075200 is a `hidden beast` number, since 4 + 6 + 6 + 83 + 8 + 507 + 52 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 36758937537 + ... + 36758937663.

Almost surely, 2^{4668385075200} is an apocalyptic number.

4668385075200 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 4668385075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982928333312).

4668385075200 is an abundant number, since it is smaller than the sum of its proper divisors (17297471591424).

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

4668385075200 is a wasteful number, since it uses less digits than its factorization.

4668385075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4668385075200 in words is "four trillion, six hundred sixty-eight billion, three hundred eighty-five million, seventy-five thousand, two hundred".