268768920960 has 1024 divisors, whose sum is σ = 1015234560000. Its totient is φ = 67126026240.

The previous prime is 268768920941. The next prime is 268768920971. The reversal of 268768920960 is 69029867862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3402138201 + ... + 3402138279.

It is an arithmetic number, because the mean of its divisors is an integer number (991440000).

Almost surely, 2^268768920960 is an apocalyptic number.

268768920960 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 268768920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507617280000).

268768920960 is an abundant number, since it is smaller than the sum of its proper divisors (746465639040).

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

268768920960 is a wasteful number, since it uses less digits than its factorization.

268768920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 268768920960 in words is "two hundred sixty-eight billion, seven hundred sixty-eight million, nine hundred twenty thousand, nine hundred sixty".