4816596960 has 240 divisors, whose sum is σ = 19427306976. Its totient is φ = 1100915712.

The previous prime is 4816596947. The next prime is 4816596971. The reversal of 4816596960 is 696956184.

It is a happy number.

4816596960 is a `hidden beast` number, since 48 + 1 + 6 + 596 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4816596897 and 4816596906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64174 + ... + 117266.

Almost surely, 2^4816596960 is an apocalyptic number.

4816596960 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 4816596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713653488).

4816596960 is an abundant number, since it is smaller than the sum of its proper divisors (14610710016).

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

4816596960 is a wasteful number, since it uses less digits than its factorization.

4816596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53127 (or 53110 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4816596960 is about 69401.7071836133. The cubic root of 4816596960 is about 1688.8073188007.

The spelling of 4816596960 in words is "four billion, eight hundred sixteen million, five hundred ninety-six thousand, nine hundred sixty".