4219873632 has 192 divisors, whose sum is σ = 13344730560. Its totient is φ = 1289613312.

The previous prime is 4219873631. The next prime is 4219873657. The reversal of 4219873632 is 2363789124.

4219873632 is a `hidden beast` number, since 4 + 2 + 1 + 9 + 8 + 7 + 3 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4219873631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762228 + ... + 1764620.

It is an arithmetic number, because the mean of its divisors is an integer number (69503805).

Almost surely, 2^4219873632 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 4219873632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672365280).

4219873632 is an abundant number, since it is smaller than the sum of its proper divisors (9124856928).

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

4219873632 is a wasteful number, since it uses less digits than its factorization.

4219873632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2568 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 4219873632 is about 64960.5544311315. The cubic root of 4219873632 is about 1615.9694591163.

The spelling of 4219873632 in words is "four billion, two hundred nineteen million, eight hundred seventy-three thousand, six hundred thirty-two".