4468645456660 has 192 divisors, whose sum is σ = 12547873658880. Its totient is φ = 1294620986880.

The previous prime is 4468645456577. The next prime is 4468645456673. The reversal of 4468645456660 is 666545468644.

It is a junction number, because it is equal to n+sod(n) for n = 4468645456592 and 4468645456601.

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, 110007 + ... + 2991553.

It is an arithmetic number, because the mean of its divisors is an integer number (65353508640).

Almost surely, 2^{4468645456660} 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 4468645456660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273936829440).

4468645456660 is an abundant number, since it is smaller than the sum of its proper divisors (8079228202220).

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

4468645456660 is a wasteful number, since it uses less digits than its factorization.

4468645456660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881646 (or 2881644 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 64.

The spelling of 4468645456660 in words is "four trillion, four hundred sixty-eight billion, six hundred forty-five million, four hundred fifty-six thousand, six hundred sixty".