4759838160 has 640 divisors, whose sum is σ = 19798732800. Its totient is φ = 915701760.

The previous prime is 4759838159. The next prime is 4759838203. The reversal of 4759838160 is 618389574.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34243371 + ... + 34243509.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 2^4759838160 is an apocalyptic number.

4759838160 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 4759838160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899366400).

4759838160 is an abundant number, since it is smaller than the sum of its proper divisors (15038894640).

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

4759838160 is a wasteful number, since it uses less digits than its factorization.

4759838160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 4759838160 is about 68991.5803558666. The cubic root of 4759838160 is about 1682.1474522721.

It can be divided in two parts, 47598 and 38160, that added together give a palindrome (85758).

The spelling of 4759838160 in words is "four billion, seven hundred fifty-nine million, eight hundred thirty-eight thousand, one hundred sixty".