4545642240 has 360 divisors, whose sum is σ = 17228589840. Its totient is φ = 1140424704.

The previous prime is 4545642239. The next prime is 4545642253. The reversal of 4545642240 is 422465454.

4545642240 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 642 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 4545642195 and 4545642204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761271 + ... + 1763849.

It is an arithmetic number, because the mean of its divisors is an integer number (47857194).

Almost surely, 2^4545642240 is an apocalyptic number.

4545642240 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 4545642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614294920).

4545642240 is an abundant number, since it is smaller than the sum of its proper divisors (12682947600).

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

4545642240 is a wasteful number, since it uses less digits than its factorization.

4545642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4545642240 is about 67421.3782119589. The cubic root of 4545642240 is about 1656.5266126062.

The spelling of 4545642240 in words is "four billion, five hundred forty-five million, six hundred forty-two thousand, two hundred forty".