268667212464 has 180 divisors, whose sum is σ = 891157556016. Its totient is φ = 75313615104.

The previous prime is 268667212459. The next prime is 268667212477. The reversal of 268667212464 is 464212766862.

It is a happy number.

268667212464 is a `hidden beast` number, since 26 + 86 + 6 + 72 + 12 + 464 = 666.

It is a super-2 number, since 2×268667212464² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 268667212464.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14757 + ... + 733179.

Almost surely, 2^268667212464 is an apocalyptic number.

268667212464 is a gapful number since it is divisible by the number (24) 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 268667212464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445578778008).

268667212464 is an abundant number, since it is smaller than the sum of its proper divisors (622490343552).

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

268667212464 is a wasteful number, since it uses less digits than its factorization.

268667212464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718504 (or 718488 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 268667212464 in words is "two hundred sixty-eight billion, six hundred sixty-seven million, two hundred twelve thousand, four hundred sixty-four".