4634158960 has 80 divisors (see below), whose sum is σ = 10953584640. Its totient is φ = 1823028480.

The previous prime is 4634158939. The next prime is 4634158961. The reversal of 4634158960 is 698514364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4634158960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4634158961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787265 + ... + 1789855.

It is an arithmetic number, because the mean of its divisors is an integer number (136919808).

Almost surely, 2^4634158960 is an apocalyptic number.

4634158960 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 4634158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476792320).

4634158960 is an abundant number, since it is smaller than the sum of its proper divisors (6319425680).

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

4634158960 is a wasteful number, since it uses less digits than its factorization.

4634158960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 4634158960 is about 68074.6572521669. The cubic root of 4634158960 is about 1667.2100091592.

The spelling of 4634158960 in words is "four billion, six hundred thirty-four million, one hundred fifty-eight thousand, nine hundred sixty".