4668195893000 has 128 divisors (see below), whose sum is σ = 11036049897600. Its totient is φ = 1848085408000.

The previous prime is 4668195892999. The next prime is 4668195893027. The reversal of 4668195893000 is 3985918664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116717006 + ... + 116756994.

It is an arithmetic number, because the mean of its divisors is an integer number (86219139825).

Almost surely, 2^{4668195893000} is an apocalyptic number.

4668195893000 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 4668195893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518024948800).

4668195893000 is an abundant number, since it is smaller than the sum of its proper divisors (6367854004600).

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

4668195893000 is a wasteful number, since it uses less digits than its factorization.

4668195893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41208 (or 41194 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 59.

The spelling of 4668195893000 in words is "four trillion, six hundred sixty-eight billion, one hundred ninety-five million, eight hundred ninety-three thousand".