3618573244560 has 960 divisors, whose sum is σ = 13809503635200. Its totient is φ = 876876005376.

The previous prime is 3618573244553. The next prime is 3618573244591. The reversal of 3618573244560 is 654423758163.

3618573244560 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 5 + 7 + 32 + 44 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3618573244497 and 3618573244506.

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, 1699657576 + ... + 1699659704.

It is an arithmetic number, because the mean of its divisors is an integer number (14384899620).

Almost surely, 2^{3618573244560} is an apocalyptic number.

3618573244560 is a gapful number since it is divisible by the number (30) 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 3618573244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904751817600).

3618573244560 is an abundant number, since it is smaller than the sum of its proper divisors (10190930390640).

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

3618573244560 is a wasteful number, since it uses less digits than its factorization.

3618573244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3618573244560 in words is "three trillion, six hundred eighteen billion, five hundred seventy-three million, two hundred forty-four thousand, five hundred sixty".