4605344640 has 768 divisors, whose sum is σ = 18815328000. Its totient is φ = 1061019648.

The previous prime is 4605344609. The next prime is 4605344669. The reversal of 4605344640 is 464435064.

4605344640 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 3 + 4 + 4 + 640 = 666.

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 = 4605344595 and 4605344604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55486039 + ... + 55486121.

It is an arithmetic number, because the mean of its divisors is an integer number (24499125).

Almost surely, 2^4605344640 is an apocalyptic number.

4605344640 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 4605344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407664000).

4605344640 is an abundant number, since it is smaller than the sum of its proper divisors (14209983360).

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

4605344640 is a wasteful number, since it uses less digits than its factorization.

4605344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4605344640 is about 67862.6896018718. The cubic root of 4605344640 is about 1663.7473574770.

The spelling of 4605344640 in words is "four billion, six hundred five million, three hundred forty-four thousand, six hundred forty".