268136693760 has 960 divisors, whose sum is σ = 998801072640. Its totient is φ = 60901294080.

The previous prime is 268136693729. The next prime is 268136693761. The reversal of 268136693760 is 67396631862.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 268136693760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268136693761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3012771796 + ... + 3012771884.

It is an arithmetic number, because the mean of its divisors is an integer number (1040417784).

Almost surely, 2^268136693760 is an apocalyptic number.

268136693760 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 268136693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499400536320).

268136693760 is an abundant number, since it is smaller than the sum of its proper divisors (730664378880).

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

268136693760 is a wasteful number, since it uses less digits than its factorization.

268136693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 268136693760 in words is "two hundred sixty-eight billion, one hundred thirty-six million, six hundred ninety-three thousand, seven hundred sixty".