4505846760 has 192 divisors, whose sum is σ = 15024372480. Its totient is φ = 1170593280.

The previous prime is 4505846743. The next prime is 4505846767. The reversal of 4505846760 is 676485054.

4505846760 is a `hidden beast` number, since 4 + 5 + 0 + 584 + 6 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4505846767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4787890 + ... + 4788830.

It is an arithmetic number, because the mean of its divisors is an integer number (78251940).

Almost surely, 2^4505846760 is an apocalyptic number.

4505846760 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 4505846760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512186240).

4505846760 is an abundant number, since it is smaller than the sum of its proper divisors (10518525720).

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

4505846760 is a wasteful number, since it uses less digits than its factorization.

4505846760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4505846760 is about 67125.6043548213. The cubic root of 4505846760 is about 1651.6783363390.

The spelling of 4505846760 in words is "four billion, five hundred five million, eight hundred forty-six thousand, seven hundred sixty".