4595996160 has 960 divisors, whose sum is σ = 20152281600. Its totient is φ = 987807744.

The previous prime is 4595996159. The next prime is 4595996161. The reversal of 4595996160 is 616995954.

4595996160 is a `hidden beast` number, since 45 + 9 + 599 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4595996159) and next prime (4595996161).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4595996160² = 42246361405469491200, which contains 22 as substring.

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 = 4595996097 and 4595996106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4595996161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77898211 + ... + 77898269.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 2^4595996160 is an apocalyptic number.

4595996160 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 4595996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076140800).

4595996160 is an abundant number, since it is smaller than the sum of its proper divisors (15556285440).

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

4595996160 is a wasteful number, since it uses less digits than its factorization.

4595996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 4595996160 is about 67793.7767055354. The cubic root of 4595996160 is about 1662.6208370156.

The spelling of 4595996160 in words is "four billion, five hundred ninety-five million, nine hundred ninety-six thousand, one hundred sixty".