4736128320 has 1008 divisors, whose sum is σ = 21628047168. Its totient is φ = 975421440.

The previous prime is 4736128303. The next prime is 4736128333. The reversal of 4736128320 is 238216374.

It is a happy number.

4736128320 is a `hidden beast` number, since 4 + 7 + 3 + 612 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×4736128320² = 44861822927012044800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41912584 + ... + 41912696.

It is an arithmetic number, because the mean of its divisors is an integer number (21456396).

Almost surely, 2^4736128320 is an apocalyptic number.

4736128320 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 4736128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814023584).

4736128320 is an abundant number, since it is smaller than the sum of its proper divisors (16891918848).

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

4736128320 is a wasteful number, since it uses less digits than its factorization.

4736128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4736128320 is about 68819.5344360887. The cubic root of 4736128320 is about 1679.3497483496.

The spelling of 4736128320 in words is "four billion, seven hundred thirty-six million, one hundred twenty-eight thousand, three hundred twenty".