268671007680 has 448 divisors, whose sum is σ = 909049955328. Its totient is φ = 67086581760.

The previous prime is 268671007673. The next prime is 268671007697. The reversal of 268671007680 is 86700176862.

It is a super-3 number, since 3×268671007680³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285516010 + ... + 285516950.

Almost surely, 2^268671007680 is an apocalyptic number.

268671007680 is a gapful number since it is divisible by the number (20) 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 268671007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454524977664).

268671007680 is an abundant number, since it is smaller than the sum of its proper divisors (640378947648).

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

268671007680 is a wasteful number, since it uses less digits than its factorization.

268671007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 268671007680 in words is "two hundred sixty-eight billion, six hundred seventy-one million, seven thousand, six hundred eighty".