4547128320 has 704 divisors, whose sum is σ = 19116687360. Its totient is φ = 1003290624.

The previous prime is 4547128301. The next prime is 4547128349. The reversal of 4547128320 is 238217454.

It is a happy number.

4547128320 is a `hidden beast` number, since 4 + 547 + 12 + 83 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 35804097 + ... + 35804223.

Almost surely, 2^4547128320 is an apocalyptic number.

4547128320 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 4547128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558343680).

4547128320 is an abundant number, since it is smaller than the sum of its proper divisors (14569559040).

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

4547128320 is a wasteful number, since it uses less digits than its factorization.

4547128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4547128320 is about 67432.3981480712. The cubic root of 4547128320 is about 1656.7071124286.

The spelling of 4547128320 in words is "four billion, five hundred forty-seven million, one hundred twenty-eight thousand, three hundred twenty".