3618286018560 has 1344 divisors, whose sum is σ = 13988733333120. Its totient is φ = 896846266368.

The previous prime is 3618286018559. The next prime is 3618286018573. The reversal of 3618286018560 is 658106828163.

3618286018560 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 2 + 8 + 60 + 18 + 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 = 3618286018497 and 3618286018506.

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, 68269547494 + ... + 68269547546.

It is an arithmetic number, because the mean of its divisors is an integer number (10408283730).

Almost surely, 2^{3618286018560} is an apocalyptic number.

3618286018560 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 3618286018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994366666560).

3618286018560 is an abundant number, since it is smaller than the sum of its proper divisors (10370447314560).

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

3618286018560 is an frugal number, since it uses more digits than its factorization.

3618286018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 3618286018560 in words is "three trillion, six hundred eighteen billion, two hundred eighty-six million, eighteen thousand, five hundred sixty".