4862108160 has 640 divisors, whose sum is σ = 21283637760. Its totient is φ = 1024524288.

The previous prime is 4862108093. The next prime is 4862108191. The reversal of 4862108160 is 618012684.

4862108160 is a `hidden beast` number, since 486 + 2 + 10 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289534 + ... + 6290306.

It is an arithmetic number, because the mean of its divisors is an integer number (33255684).

Almost surely, 2^4862108160 is an apocalyptic number.

4862108160 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 4862108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641818880).

4862108160 is an abundant number, since it is smaller than the sum of its proper divisors (16421529600).

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

4862108160 is a wasteful number, since it uses less digits than its factorization.

4862108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4862108160 is about 69728.8187193789. The cubic root of 4862108160 is about 1694.1097368912.

The spelling of 4862108160 in words is "four billion, eight hundred sixty-two million, one hundred eight thousand, one hundred sixty".