6601235408640 has 720 divisors, whose sum is σ = 24898473119520. Its totient is φ = 1665342996480.

The previous prime is 6601235408639. The next prime is 6601235408653. The reversal of 6601235408640 is 468045321066.

6601235408640 is a `hidden beast` number, since 6 + 6 + 0 + 1 + 23 + 540 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1727617930 + ... + 1727621750.

It is an arithmetic number, because the mean of its divisors is an integer number (34581212666).

Almost surely, 2^{6601235408640} is an apocalyptic number.

6601235408640 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 6601235408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12449236559760).

6601235408640 is an abundant number, since it is smaller than the sum of its proper divisors (18297237710880).

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

6601235408640 is a wasteful number, since it uses less digits than its factorization.

6601235408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6601235408640 in words is "six trillion, six hundred one billion, two hundred thirty-five million, four hundred eight thousand, six hundred forty".