4786652160 has 264 divisors, whose sum is σ = 16755350040. Its totient is φ = 1263403008.

The previous prime is 4786652147. The next prime is 4786652191. The reversal of 4786652160 is 612566874.

4786652160 is a `hidden beast` number, since 4 + 7 + 8 + 66 + 521 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 661929984 + 4124722176 = 25728^2 + 64224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5022244 + ... + 5023196.

It is an arithmetic number, because the mean of its divisors is an integer number (63467235).

Almost surely, 2^4786652160 is an apocalyptic number.

4786652160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4786652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377675020).

4786652160 is an abundant number, since it is smaller than the sum of its proper divisors (11968697880).

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

4786652160 is a wasteful number, since it uses less digits than its factorization.

4786652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4786652160 is about 69185.6355033326. The cubic root of 4786652160 is about 1685.3002672926.

The spelling of 4786652160 in words is "four billion, seven hundred eighty-six million, six hundred fifty-two thousand, one hundred sixty".