268162756624 has 160 divisors (see below), whose sum is σ = 673259765760. Its totient is φ = 100784217600.

The previous prime is 268162756607. The next prime is 268162756679. The reversal of 268162756624 is 426657261862.

It is a super-2 number, since 2×268162756624² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428894 + ... + 1605634.

It is an arithmetic number, because the mean of its divisors is an integer number (4207873536).

Almost surely, 2^268162756624 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 268162756624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336629882880).

268162756624 is an abundant number, since it is smaller than the sum of its proper divisors (405097009136).

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

268162756624 is a wasteful number, since it uses less digits than its factorization.

268162756624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176829 (or 176823 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 268162756624 in words is "two hundred sixty-eight billion, one hundred sixty-two million, seven hundred fifty-six thousand, six hundred twenty-four".