268766142360 has 256 divisors, whose sum is σ = 927653990400. Its totient is φ = 61843046400.

The previous prime is 268766142353. The next prime is 268766142361. The reversal of 268766142360 is 63241667862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268766142361) 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, 1089720 + ... + 1313400.

It is an arithmetic number, because the mean of its divisors is an integer number (3623648400).

Almost surely, 2^268766142360 is an apocalyptic number.

268766142360 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 268766142360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463826995200).

268766142360 is an abundant number, since it is smaller than the sum of its proper divisors (658887848040).

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

268766142360 is a wasteful number, since it uses less digits than its factorization.

268766142360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223762 (or 223758 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 268766142360 in words is "two hundred sixty-eight billion, seven hundred sixty-six million, one hundred forty-two thousand, three hundred sixty".