268434719280 has 1800 divisors, whose sum is σ = 1230241696992. Its totient is φ = 53102739456.

The previous prime is 268434719243. The next prime is 268434719303. The reversal of 268434719280 is 82917434862.

268434719280 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 3 + 471 + 92 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2767368192 + ... + 2767368288.

Almost surely, 2^268434719280 is an apocalyptic number.

268434719280 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 268434719280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615120848496).

268434719280 is an abundant number, since it is smaller than the sum of its proper divisors (961806977712).

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

268434719280 is a wasteful number, since it uses less digits than its factorization.

268434719280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 268434719280 in words is "two hundred sixty-eight billion, four hundred thirty-four million, seven hundred nineteen thousand, two hundred eighty".