4664464642200 has 96 divisors (see below), whose sum is σ = 15774371357760. Its totient is φ = 1130779305600.

The previous prime is 4664464642199. The next prime is 4664464642217. The reversal of 4664464642200 is 22464644664.

It is a self number, because there is not a number n which added to its sum of digits gives 4664464642200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353361934 + ... + 353375133.

It is an arithmetic number, because the mean of its divisors is an integer number (164316368310).

Almost surely, 2^{4664464642200} is an apocalyptic number.

4664464642200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4664464642200 is an abundant number, since it is smaller than the sum of its proper divisors (11109906715560).

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

4664464642200 is a wasteful number, since it uses less digits than its factorization.

4664464642200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706737097 (or 706737088 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 4664464642200 in words is "four trillion, six hundred sixty-four billion, four hundred sixty-four million, six hundred forty-two thousand, two hundred".