4468642680800 has 72 divisors (see below), whose sum is σ = 10911981869712. Its totient is φ = 1786980608000.

The previous prime is 4468642680793. The next prime is 4468642680811. The reversal of 4468642680800 is 80862468644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2266205 + ... + 3751395.

It is an arithmetic number, because the mean of its divisors is an integer number (151555303746).

Almost surely, 2^{4468642680800} is an apocalyptic number.

4468642680800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4468642680800 is an abundant number, since it is smaller than the sum of its proper divisors (6443339188912).

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

4468642680800 is a wasteful number, since it uses less digits than its factorization.

4468642680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488972 (or 1488959 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 56.

The spelling of 4468642680800 in words is "four trillion, four hundred sixty-eight billion, six hundred forty-two million, six hundred eighty thousand, eight hundred".