4219630506 has 192 divisors, whose sum is σ = 11623772160. Its totient is φ = 1076664960.

The previous prime is 4219630501. The next prime is 4219630507. The reversal of 4219630506 is 6050369124.

It is a happy number.

4219630506 is a `hidden beast` number, since 4 + 2 + 19 + 630 + 5 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4219630501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9790111 + ... + 9790541.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 2^4219630506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4219630506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811886080).

4219630506 is an abundant number, since it is smaller than the sum of its proper divisors (7404141654).

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

4219630506 is a wasteful number, since it uses less digits than its factorization.

4219630506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4219630506 is about 64958.6830685475. The cubic root of 4219630506 is about 1615.9384240846.

The spelling of 4219630506 in words is "four billion, two hundred nineteen million, six hundred thirty thousand, five hundred six".