4566472416 has 192 divisors, whose sum is σ = 14885337600. Its totient is φ = 1349913600.

The previous prime is 4566472409. The next prime is 4566472439. The reversal of 4566472416 is 6142746654.

4566472416 is a `hidden beast` number, since 4 + 566 + 4 + 72 + 4 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383805 + ... + 395523.

It is an arithmetic number, because the mean of its divisors is an integer number (77527800).

Almost surely, 2^4566472416 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 4566472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442668800).

4566472416 is an abundant number, since it is smaller than the sum of its proper divisors (10318865184).

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

4566472416 is a wasteful number, since it uses less digits than its factorization.

4566472416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 11776 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 4566472416 is about 67575.6791752773. The cubic root of 4566472416 is about 1659.0530739146.

The spelling of 4566472416 in words is "four billion, five hundred sixty-six million, four hundred seventy-two thousand, four hundred sixteen".