6605481093120 has 2304 divisors, whose sum is σ = 30182313208320. Its totient is φ = 1296442589184.

The previous prime is 6605481093119. The next prime is 6605481093139. The reversal of 6605481093120 is 213901845066.

6605481093120 is a `hidden beast` number, since 6 + 6 + 0 + 548 + 1 + 0 + 93 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×6605481093120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15255152424 + ... + 15255152856.

It is an arithmetic number, because the mean of its divisors is an integer number (13099962330).

Almost surely, 2^{6605481093120} is an apocalyptic number.

6605481093120 is a gapful number since it is divisible by the number (60) 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 6605481093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091156604160).

6605481093120 is an abundant number, since it is smaller than the sum of its proper divisors (23576832115200).

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

6605481093120 is a wasteful number, since it uses less digits than its factorization.

6605481093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6605481093120 in words is "six trillion, six hundred five billion, four hundred eighty-one million, ninety-three thousand, one hundred twenty".