268713640512 has 560 divisors, whose sum is σ = 892220313600. Its totient is φ = 79559884800.

The previous prime is 268713640441. The next prime is 268713640541. The reversal of 268713640512 is 215046317862.

268713640512 is a `hidden beast` number, since 2 + 6 + 8 + 71 + 3 + 64 + 0 + 512 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112009489 + ... + 112011887.

It is an arithmetic number, because the mean of its divisors is an integer number (1593250560).

Almost surely, 2^268713640512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268713640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446110156800).

268713640512 is an abundant number, since it is smaller than the sum of its proper divisors (623506673088).

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

268713640512 is a wasteful number, since it uses less digits than its factorization.

268713640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 268713640512 in words is "two hundred sixty-eight billion, seven hundred thirteen million, six hundred forty thousand, five hundred twelve".