268316076960 has 480 divisors, whose sum is σ = 976826466000. Its totient is φ = 69316853760.

The previous prime is 268316076943. The next prime is 268316076961. The reversal of 268316076960 is 69670613862.

268316076960 is a `hidden beast` number, since 26 + 8 + 3 + 1 + 607 + 6 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66495905424 + 201820171536 = 257868^2 + 449244^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 268316076897 and 268316076906.

It is not an unprimeable number, because it can be changed into a prime (268316076961) 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, 79170946 + ... + 79174334.

Almost surely, 2^268316076960 is an apocalyptic number.

268316076960 is a gapful number since it is divisible by the number (20) 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 268316076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488413233000).

268316076960 is an abundant number, since it is smaller than the sum of its proper divisors (708510389040).

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

268316076960 is a wasteful number, since it uses less digits than its factorization.

268316076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 268316076960 in words is "two hundred sixty-eight billion, three hundred sixteen million, seventy-six thousand, nine hundred sixty".