268667618624064 has 1120 divisors, whose sum is σ = 901381575131136. Its totient is φ = 78423152209920.

The previous prime is 268667618624059. The next prime is 268667618624113. The reversal of 268667618624064 is 460426816766862.

268667618624064 is a `hidden beast` number, since 2 + 6 + 86 + 6 + 7 + 61 + 86 + 2 + 406 + 4 = 666.

It is a super-2 number, since 2×268667618624064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 268667618623983 and 268667618624001.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53873592579 + ... + 53873597565.

Almost surely, 2^{268667618624064} is an apocalyptic number.

268667618624064 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 268667618624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450690787565568).

268667618624064 is an abundant number, since it is smaller than the sum of its proper divisors (632713956507072).

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

268667618624064 is a wasteful number, since it uses less digits than its factorization.

268667618624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 268667618624064 in words is "two hundred sixty-eight trillion, six hundred sixty-seven billion, six hundred eighteen million, six hundred twenty-four thousand, sixty-four".