4662160416 has 240 divisors, whose sum is σ = 14559320160. Its totient is φ = 1459399680.

The previous prime is 4662160411. The next prime is 4662160429. The reversal of 4662160416 is 6140612664.

4662160416 is a `hidden beast` number, since 46 + 6 + 2 + 1 + 604 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4662160411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6746631 + ... + 6747321.

It is an arithmetic number, because the mean of its divisors is an integer number (60663834).

Almost surely, 2^4662160416 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 4662160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279660080).

4662160416 is an abundant number, since it is smaller than the sum of its proper divisors (9897159744).

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

4662160416 is a wasteful number, since it uses less digits than its factorization.

4662160416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4662160416 is about 68280.0147627401. The cubic root of 4662160416 is about 1670.5612532596.

The spelling of 4662160416 in words is "four billion, six hundred sixty-two million, one hundred sixty thousand, four hundred sixteen".