4180201668 has 72 divisors (see below), whose sum is σ = 11015248608. Its totient is φ = 1386118656.

The previous prime is 4180201639. The next prime is 4180201673. The reversal of 4180201668 is 8661020814.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 176455 + ... + 198737.

It is an arithmetic number, because the mean of its divisors is an integer number (152989564).

Almost surely, 2^4180201668 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 4180201668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507624304).

4180201668 is an abundant number, since it is smaller than the sum of its proper divisors (6835046940).

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

4180201668 is a wasteful number, since it uses less digits than its factorization.

4180201668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22495 (or 22481 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4180201668 is about 64654.4791023793. The cubic root of 4180201668 is about 1610.8894777647.

The spelling of 4180201668 in words is "four billion, one hundred eighty million, two hundred one thousand, six hundred sixty-eight".