4466688000 has 240 divisors, whose sum is σ = 14885130624. Its totient is φ = 1189478400.

The previous prime is 4466687999. The next prime is 4466688007. The reversal of 4466688000 is 8866644.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (4466688007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143637 + ... + 6144363.

Almost surely, 2^4466688000 is an apocalyptic number.

4466688000 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 4466688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442565312).

4466688000 is an abundant number, since it is smaller than the sum of its proper divisors (10418442624).

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

4466688000 is an frugal number, since it uses more digits than its factorization.

4466688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4466688000 is about 66833.2851205146. The cubic root of 4466688000 is about 1646.8796859995.

The spelling of 4466688000 in words is "four billion, four hundred sixty-six million, six hundred eighty-eight thousand".