4627006160 has 160 divisors (see below), whose sum is σ = 13155705600. Its totient is φ = 1478062080.

The previous prime is 4627006157. The next prime is 4627006187. The reversal of 4627006160 is 616007264.

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 31 ways as a sum of consecutive naturals, for example, 645476 + ... + 652604.

It is an arithmetic number, because the mean of its divisors is an integer number (82223160).

Almost surely, 2^4627006160 is an apocalyptic number.

4627006160 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 4627006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577852800).

4627006160 is an abundant number, since it is smaller than the sum of its proper divisors (8528699440).

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

4627006160 is a wasteful number, since it uses less digits than its factorization.

4627006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4627006160 is about 68022.1005262260. The cubic root of 4627006160 is about 1666.3517908268.

The spelling of 4627006160 in words is "four billion, six hundred twenty-seven million, six thousand, one hundred sixty".