260646720768 has 648 divisors, whose sum is σ = 900329084928. Its totient is φ = 72490070016.

The previous prime is 260646720739. The next prime is 260646720809. The reversal of 260646720768 is 867027646062.

260646720768 is a `hidden beast` number, since 2 + 606 + 4 + 6 + 7 + 20 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×260646720768² (a number of 24 digits) contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2052336321 + ... + 2052336447.

It is an arithmetic number, because the mean of its divisors is an integer number (1389396736).

Almost surely, 2^260646720768 is an apocalyptic number.

260646720768 is a gapful number since it is divisible by the number (28) 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 260646720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450164542464).

260646720768 is an abundant number, since it is smaller than the sum of its proper divisors (639682364160).

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

260646720768 is an frugal number, since it uses more digits than its factorization.

260646720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 260646720768 in words is "two hundred sixty billion, six hundred forty-six million, seven hundred twenty thousand, seven hundred sixty-eight".