268812685440 has 192 divisors, whose sum is σ = 999647452440. Its totient is φ = 66169257984.

The previous prime is 268812685417. The next prime is 268812685591. The reversal of 268812685440 is 44586218862.

268812685440 is a `hidden beast` number, since 2 + 6 + 88 + 12 + 6 + 8 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 221208427584 + 47604257856 = 470328^2 + 218184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1720077 + ... + 1869836.

Almost surely, 2^268812685440 is an apocalyptic number.

268812685440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268812685440 is an abundant number, since it is smaller than the sum of its proper divisors (730834767000).

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

268812685440 is a wasteful number, since it uses less digits than its factorization.

268812685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589951 (or 3589936 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 268812685440 in words is "two hundred sixty-eight billion, eight hundred twelve million, six hundred eighty-five thousand, four hundred forty".