4656067416 has 432 divisors, whose sum is σ = 17384749200. Its totient is φ = 1115009280.

The previous prime is 4656067411. The next prime is 4656067417. The reversal of 4656067416 is 6147606564.

4656067416 is a `hidden beast` number, since 4 + 6 + 560 + 6 + 74 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656067411) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5549125 + ... + 5549963.

It is an arithmetic number, because the mean of its divisors is an integer number (40242475).

Almost surely, 2^4656067416 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 4656067416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8692374600).

4656067416 is an abundant number, since it is smaller than the sum of its proper divisors (12728681784).

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

4656067416 is a wasteful number, since it uses less digits than its factorization.

4656067416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4656067416 is about 68235.3824346284. The cubic root of 4656067416 is about 1669.8331811328.

The spelling of 4656067416 in words is "four billion, six hundred fifty-six million, sixty-seven thousand, four hundred sixteen".