268954786446720 has 1024 divisors, whose sum is σ = 979362938880000. Its totient is φ = 62188019712000.

The previous prime is 268954786446707. The next prime is 268954786446761. The reversal of 268954786446720 is 27644687459862.

It is a happy number.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30982000780 + ... + 30982009460.

It is an arithmetic number, because the mean of its divisors is an integer number (956409120000).

Almost surely, 2^{268954786446720} is an apocalyptic number.

268954786446720 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 268954786446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489681469440000).

268954786446720 is an abundant number, since it is smaller than the sum of its proper divisors (710408152433280).

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

268954786446720 is a wasteful number, since it uses less digits than its factorization.

268954786446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9423 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 7803371520, while the sum is 78.

The spelling of 268954786446720 in words is "two hundred sixty-eight trillion, nine hundred fifty-four billion, seven hundred eighty-six million, four hundred forty-six thousand, seven hundred twenty".