4605618240 has 336 divisors, whose sum is σ = 17659624320. Its totient is φ = 1094860800.

The previous prime is 4605618239. The next prime is 4605618263. The reversal of 4605618240 is 428165064.

4605618240 is a `hidden beast` number, since 4 + 605 + 6 + 1 + 8 + 2 + 40 = 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 = 4605618195 and 4605618204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927765 + ... + 932715.

Almost surely, 2^4605618240 is an apocalyptic number.

4605618240 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 4605618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829812160).

4605618240 is an abundant number, since it is smaller than the sum of its proper divisors (13054006080).

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

4605618240 is a wasteful number, since it uses less digits than its factorization.

4605618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4605618240 is about 67864.7054071555. The cubic root of 4605618240 is about 1663.7803041435.

The spelling of 4605618240 in words is "four billion, six hundred five million, six hundred eighteen thousand, two hundred forty".