260756633466 has 192 divisors, whose sum is σ = 699098729472. Its totient is φ = 68540276736.

The previous prime is 260756633453. The next prime is 260756633477. The reversal of 260756633466 is 664336657062.

260756633466 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 566 + 33 + 46 + 6 = 666.

It is a super-3 number, since 3×260756633466³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130573180 + ... + 130575176.

It is an arithmetic number, because the mean of its divisors is an integer number (3641139216).

Almost surely, 2^260756633466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260756633466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349549364736).

260756633466 is an abundant number, since it is smaller than the sum of its proper divisors (438342096006).

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

260756633466 is a wasteful number, since it uses less digits than its factorization.

260756633466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 260756633466 in words is "two hundred sixty billion, seven hundred fifty-six million, six hundred thirty-three thousand, four hundred sixty-six".