268760975616 has 360 divisors, whose sum is σ = 924338824640. Its totient is φ = 76079886336.

The previous prime is 268760975603. The next prime is 268760975647. The reversal of 268760975616 is 616579067862.

268760975616 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 6 + 0 + 9 + 7 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15813075 + ... + 15830061.

Almost surely, 2^268760975616 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 268760975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462169412320).

268760975616 is an abundant number, since it is smaller than the sum of its proper divisors (655577849024).

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

268760975616 is a wasteful number, since it uses less digits than its factorization.

268760975616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17131 (or 17108 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 268760975616 in words is "two hundred sixty-eight billion, seven hundred sixty million, nine hundred seventy-five thousand, six hundred sixteen".