3260641735680 has 1408 divisors, whose sum is σ = 13179666816000. Its totient is φ = 670820204544.

The previous prime is 3260641735669. The next prime is 3260641735691. The reversal of 3260641735680 is 865371460623.

It is an interprime number because it is at equal distance from previous prime (3260641735669) and next prime (3260641735691).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 7262008096 + ... + 7262008544.

Almost surely, 2^{3260641735680} is an apocalyptic number.

3260641735680 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 3260641735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589833408000).

3260641735680 is an abundant number, since it is smaller than the sum of its proper divisors (9919025080320).

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

3260641735680 is a wasteful number, since it uses less digits than its factorization.

3260641735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3260641735680 in words is "three trillion, two hundred sixty billion, six hundred forty-one million, seven hundred thirty-five thousand, six hundred eighty".