268399776045240 has 640 divisors, whose sum is σ = 1045235093760000. Its totient is φ = 60503002140672.

The previous prime is 268399776045217. The next prime is 268399776045241. The reversal of 268399776045240 is 42540677993862.

268399776045240 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 9 + 9 + 7 + 7 + 604 + 5 + 2 + 4 + 0 = 666.

268399776045240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268399776045240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268399776045241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1582003936 + ... + 1582173584.

It is an arithmetic number, because the mean of its divisors is an integer number (1633179834000).

Almost surely, 2^{268399776045240} is an apocalyptic number.

268399776045240 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 268399776045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522617546880000).

268399776045240 is an abundant number, since it is smaller than the sum of its proper divisors (776835317714760).

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

268399776045240 is a wasteful number, since it uses less digits than its factorization.

268399776045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170641 (or 170628 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 268399776045240 in words is "two hundred sixty-eight trillion, three hundred ninety-nine billion, seven hundred seventy-six million, forty-five thousand, two hundred forty".