4084632468 has 192 divisors, whose sum is σ = 12839178240. Its totient is φ = 1097712000.

The previous prime is 4084632463. The next prime is 4084632469. The reversal of 4084632468 is 8642364804.

4084632468 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 632 + 4 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084632463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1058743 + ... + 1062593.

It is an arithmetic number, because the mean of its divisors is an integer number (66870720).

Almost surely, 2^4084632468 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 4084632468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419589120).

4084632468 is an abundant number, since it is smaller than the sum of its proper divisors (8754545772).

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

4084632468 is a wasteful number, since it uses less digits than its factorization.

4084632468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 4084632468 is about 63911.1294533276. The cubic root of 4084632468 is about 1598.5184812164.

The spelling of 4084632468 in words is "four billion, eighty-four million, six hundred thirty-two thousand, four hundred sixty-eight".