4621328640 has 540 divisors, whose sum is σ = 17448955524. Its totient is φ = 1167409152.

The previous prime is 4621328623. The next prime is 4621328651. The reversal of 4621328640 is 468231264.

4621328640 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 3 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21233664 + 4600094976 = 4608^2 + 67824^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a junction number, because it is equal to n+sod(n) for n = 4621328595 and 4621328604.

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 59 ways as a sum of consecutive naturals, for example, 87194854 + ... + 87194906.

Almost surely, 2^4621328640 is an apocalyptic number.

4621328640 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 4621328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724477762).

4621328640 is an abundant number, since it is smaller than the sum of its proper divisors (12827626884).

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

4621328640 is an equidigital number, since it uses as much as digits as its factorization.

4621328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4621328640 is about 67980.3548093124. The cubic root of 4621328640 is about 1665.6699519658.

The spelling of 4621328640 in words is "four billion, six hundred twenty-one million, three hundred twenty-eight thousand, six hundred forty".