4643692416 has 320 divisors, whose sum is σ = 15876748800. Its totient is φ = 1332495360.

The previous prime is 4643692373. The next prime is 4643692423. The reversal of 4643692416 is 6142963464.

4643692416 is a `hidden beast` number, since 46 + 4 + 369 + 241 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2165841 + ... + 2167983.

It is an arithmetic number, because the mean of its divisors is an integer number (49614840).

Almost surely, 2^4643692416 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 4643692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938374400).

4643692416 is an abundant number, since it is smaller than the sum of its proper divisors (11233056384).

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

4643692416 is a wasteful number, since it uses less digits than its factorization.

4643692416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2178 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4643692416 is about 68144.6433404710. The cubic root of 4643692416 is about 1668.3524952454.

The spelling of 4643692416 in words is "four billion, six hundred forty-three million, six hundred ninety-two thousand, four hundred sixteen".