4506347520 has 288 divisors, whose sum is σ = 16205585760. Its totient is φ = 1201029120.

The previous prime is 4506347509. The next prime is 4506347537. The reversal of 4506347520 is 257436054.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487415 + ... + 2489225.

It is an arithmetic number, because the mean of its divisors is an integer number (56269395).

Almost surely, 2^4506347520 is an apocalyptic number.

4506347520 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 4506347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102792880).

4506347520 is an abundant number, since it is smaller than the sum of its proper divisors (11699238240).

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

4506347520 is an equidigital number, since it uses as much as digits as its factorization.

4506347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4506347520 is about 67129.3342734754. The cubic root of 4506347520 is about 1651.7395208288.

The spelling of 4506347520 in words is "four billion, five hundred six million, three hundred forty-seven thousand, five hundred twenty".