4216726800 has 360 divisors, whose sum is σ = 17193566208. Its totient is φ = 943488000.

The previous prime is 4216726783. The next prime is 4216726823. The reversal of 4216726800 is 86276124.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 510705 + ... + 518895.

Almost surely, 2^4216726800 is an apocalyptic number.

4216726800 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 4216726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596783104).

4216726800 is an abundant number, since it is smaller than the sum of its proper divisors (12976839408).

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

4216726800 is a wasteful number, since it uses less digits than its factorization.

4216726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4216726800 is about 64936.3288152325. The cubic root of 4216726800 is about 1615.5676738648.

The spelling of 4216726800 in words is "four billion, two hundred sixteen million, seven hundred twenty-six thousand, eight hundred".