6608131661040 has 640 divisors, whose sum is σ = 26713602220032. Its totient is φ = 1311346851840.

The previous prime is 6608131660997. The next prime is 6608131661071. The reversal of 6608131661040 is 401661318066.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6608131660983 and 6608131661001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646393369 + ... + 646403591.

Almost surely, 2^{6608131661040} is an apocalyptic number.

6608131661040 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 6608131661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356801110016).

6608131661040 is an abundant number, since it is smaller than the sum of its proper divisors (20105470558992).

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

6608131661040 is a wasteful number, since it uses less digits than its factorization.

6608131661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12017 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 6608131661040 in words is "six trillion, six hundred eight billion, one hundred thirty-one million, six hundred sixty-one thousand, forty".