4211784864 has 144 divisors (see below), whose sum is σ = 14195458368. Its totient is φ = 1203351552.

The previous prime is 4211784847. The next prime is 4211784881. The reversal of 4211784864 is 4684871124.

4211784864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4211784847) and next prime (4211784881).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 15744 + ... + 93120.

It is an arithmetic number, because the mean of its divisors is an integer number (98579572).

Almost surely, 2^4211784864 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 4211784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097729184).

4211784864 is an abundant number, since it is smaller than the sum of its proper divisors (9983673504).

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

4211784864 is an equidigital number, since it uses as much as digits as its factorization.

4211784864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77409 (or 77389 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 4211784864 is about 64898.2654930007. The cubic root of 4211784864 is about 1614.9362873644.

The spelling of 4211784864 in words is "four billion, two hundred eleven million, seven hundred eighty-four thousand, eight hundred sixty-four".