268036562916864 has 800 divisors, whose sum is σ = 932377127616000. Its totient is φ = 75080417771520.

The previous prime is 268036562916827. The next prime is 268036562916869. The reversal of 268036562916864 is 468619265630862.

268036562916864 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 365 + 62 + 91 + 68 + 64 = 666.

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 = 268036562916792 and 268036562916801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268036562916869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3689437212 + ... + 3689509860.

It is an arithmetic number, because the mean of its divisors is an integer number (1165471409520).

Almost surely, 2^{268036562916864} is an apocalyptic number.

268036562916864 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 268036562916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466188563808000).

268036562916864 is an abundant number, since it is smaller than the sum of its proper divisors (664340564699136).

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

268036562916864 is an equidigital number, since it uses as much as digits as its factorization.

268036562916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72936 (or 72911 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 268036562916864 in words is "two hundred sixty-eight trillion, thirty-six billion, five hundred sixty-two million, nine hundred sixteen thousand, eight hundred sixty-four".