4216623264 has 288 divisors, whose sum is σ = 14430648960. Its totient is φ = 1194310656.

The previous prime is 4216623259. The next prime is 4216623289. The reversal of 4216623264 is 4623266124.

4216623264 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 623 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

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, 5799669 + ... + 5800395.

It is an arithmetic number, because the mean of its divisors is an integer number (50106420).

Almost surely, 2^4216623264 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 4216623264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215324480).

4216623264 is an abundant number, since it is smaller than the sum of its proper divisors (10214025696).

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

4216623264 is a wasteful number, since it uses less digits than its factorization.

4216623264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 876 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4216623264 is about 64935.5315986556. The cubic root of 4216623264 is about 1615.5544510665.

Adding to 4216623264 its reverse (4623266124), we get a palindrome (8839889388).

The spelling of 4216623264 in words is "four billion, two hundred sixteen million, six hundred twenty-three thousand, two hundred sixty-four".