268427367936 has 1280 divisors, whose sum is σ = 1031000678400. Its totient is φ = 67077144576.

The previous prime is 268427367931. The next prime is 268427367979. The reversal of 268427367936 is 639763724862.

268427367936 is a `hidden beast` number, since 2 + 68 + 427 + 3 + 67 + 93 + 6 = 666.

268427367936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268427367931) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3397814745 + ... + 3397814823.

It is an arithmetic number, because the mean of its divisors is an integer number (805469280).

Almost surely, 2^268427367936 is an apocalyptic number.

268427367936 is a gapful number since it is divisible by the number (26) 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 268427367936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515500339200).

268427367936 is an abundant number, since it is smaller than the sum of its proper divisors (762573310464).

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

268427367936 is a wasteful number, since it uses less digits than its factorization.

268427367936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 268427367936 in words is "two hundred sixty-eight billion, four hundred twenty-seven million, three hundred sixty-seven thousand, nine hundred thirty-six".