268706683234080 has 5760 divisors, whose sum is σ = 1310270492805120. Its totient is φ = 51197920542720.

The previous prime is 268706683234079. The next prime is 268706683234159. The reversal of 268706683234080 is 80432386607862.

It is a happy number.

268706683234080 is a `hidden beast` number, since 2 + 6 + 8 + 70 + 66 + 83 + 23 + 408 + 0 = 666.

It is a super-2 number, since 2×268706683234080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 268706683233999 and 268706683234017.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 354962593062 + ... + 354962593818.

It is an arithmetic number, because the mean of its divisors is an integer number (227477516112).

Almost surely, 2^{268706683234080} is an apocalyptic number.

268706683234080 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 268706683234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655135246402560).

268706683234080 is an abundant number, since it is smaller than the sum of its proper divisors (1041563809571040).

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

268706683234080 is a wasteful number, since it uses less digits than its factorization.

268706683234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 268706683234080 in words is "two hundred sixty-eight trillion, seven hundred six billion, six hundred eighty-three million, two hundred thirty-four thousand, eighty".