4066848000 has 432 divisors, whose sum is σ = 15204710976. Its totient is φ = 1082419200.

The previous prime is 4066847987. The next prime is 4066848053. The reversal of 4066848000 is 8486604.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775739 + ... + 7776261.

Almost surely, 2^4066848000 is an apocalyptic number.

4066848000 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 4066848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602355488).

4066848000 is an abundant number, since it is smaller than the sum of its proper divisors (11137862976).

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

4066848000 is an frugal number, since it uses more digits than its factorization.

4066848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4066848000 is about 63771.8433166237. The cubic root of 4066848000 is about 1596.1951256711.

The spelling of 4066848000 in words is "four billion, sixty-six million, eight hundred forty-eight thousand".