268920507806496 has 2880 divisors, whose sum is σ = 1077611751659520. Its totient is φ = 64979371376640.

The previous prime is 268920507806453. The next prime is 268920507806507. The reversal of 268920507806496 is 694608705029862.

It is a happy number.

268920507806496 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 2 + 0 + 50 + 7 + 80 + 6 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 221698686786 + ... + 221698687998.

It is an arithmetic number, because the mean of its divisors is an integer number (374170747104).

Almost surely, 2^{268920507806496} is an apocalyptic number.

268920507806496 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 268920507806496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538805875829760).

268920507806496 is an abundant number, since it is smaller than the sum of its proper divisors (808691243853024).

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

268920507806496 is a wasteful number, since it uses less digits than its factorization.

268920507806496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 268920507806496 in words is "two hundred sixty-eight trillion, nine hundred twenty billion, five hundred seven million, eight hundred six thousand, four hundred ninety-six".