4216665600 has 900 divisors, whose sum is σ = 18372863124. Its totient is φ = 952197120.

The previous prime is 4216665437. The next prime is 4216665617. The reversal of 4216665600 is 65666124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

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 89 ways as a sum of consecutive naturals, for example, 50803159 + ... + 50803241.

Almost surely, 2^4216665600 is an apocalyptic number.

4216665600 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 4216665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186431562).

4216665600 is an abundant number, since it is smaller than the sum of its proper divisors (14156197524).

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

4216665600 is an equidigital number, since it uses as much as digits as its factorization.

4216665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4216665600 is about 64935.8575826946. The cubic root of 4216665600 is about 1615.5598579115.

The spelling of 4216665600 in words is "four billion, two hundred sixteen million, six hundred sixty-five thousand, six hundred".