268681190792784 has 960 divisors, whose sum is σ = 913444642086912. Its totient is φ = 67223897395200.

The previous prime is 268681190792743. The next prime is 268681190792789. The reversal of 268681190792784 is 487297091186862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268681190792789) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240538218594 + ... + 240538219710.

Almost surely, 2^{268681190792784} is an apocalyptic number.

268681190792784 is a gapful number since it is divisible by the number (24) 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 268681190792784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456722321043456).

268681190792784 is an abundant number, since it is smaller than the sum of its proper divisors (644763451294128).

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

268681190792784 is a wasteful number, since it uses less digits than its factorization.

268681190792784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 78.

The spelling of 268681190792784 in words is "two hundred sixty-eight trillion, six hundred eighty-one billion, one hundred ninety million, seven hundred ninety-two thousand, seven hundred eighty-four".