4640328000 has 1344 divisors, whose sum is σ = 22153936896. Its totient is φ = 933120000.

The previous prime is 4640327987. The next prime is 4640328073. The reversal of 4640328000 is 8230464.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149687985 + ... + 149688015.

It is an arithmetic number, because the mean of its divisors is an integer number (16483584).

Almost surely, 2^4640328000 is an apocalyptic number.

4640328000 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 4640328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076968448).

4640328000 is an abundant number, since it is smaller than the sum of its proper divisors (17513608896).

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

4640328000 is a wasteful number, since it uses less digits than its factorization.

4640328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4640328000 is about 68119.9530240590. The cubic root of 4640328000 is about 1667.9494834864.

Adding to 4640328000 its reverse (8230464), we get a palindrome (4648558464).

The spelling of 4640328000 in words is "four billion, six hundred forty million, three hundred twenty-eight thousand".